[2] As of 2020, Team North America/Team Canada has won the Continental Cup ten times.

In 2011, Murdoch also skipped a Scottish-Swiss-German team composed of Ralph Stöckli, Andreas Lang, and Simon Strübin.

A list of the championships illustrates the variations in the competition's participants over the last two decades.

David Nedohin, Randy Ferbey, Scott Pfeifer, Marcel Rocque Colleen Jones, Kim Kelly, Mary-Anne Waye, Nancy Delahunt Patti Lank, Erika Brown, Nicole Joraanstad, Natalie Nicholson Kelley Law, Julie Skinner, Georgina Wheatcroft, Diane Dezura Kevin Martin, Don Walchuk, Carter Rycroft, Don Bartlett Paul Pustovar, Mike Fraboni, Geoff Goodland, Richard Maskel Luzia Ebnöther, Carmen Küng, Tanya Frei, Nadia Röthlisberger Elisabet Gustafson, Katarina Nyberg, Louise Marmont, Elisabeth Persson Peja Lindholm, Tomas Nordin, Magnus Swartling, Peter Narup Hammy McMillan, Norman Brown, Hugh Aitken, Roger McIntyre Rhona Martin, Debbie Knox, Fiona MacDonald, Janice Rankin Pål Trulsen, Lars Vågberg, Flemming Davanger, Bent Ånund Ramsfjell Mark Dacey, Bruce Lohnes, Rob Harris, Andrew Gibson David Nedohin, Randy Ferbey, Scott Pfeifer, Marcel Rocque Pete Fenson, Eric Fenson, Shawn Rojeski, John Shuster Colleen Jones, Kim Kelly, Mary-Anne Waye, Nancy Delahunt Debbie McCormick, Allison Pottinger, Ann Swisshelm Silver, Tracy Sachtjen Sherry Middaugh, Kirsten Wall, Andrea Lawes, Sheri Cordina Peja Lindholm, Tomas Nordin, Magnus Swartling, Peter Narup Jackie Lockhart, Shelia Swan, Katriona Fairweather, Anne Laird Hammy McMillan, Norman Brown, Hugh Aitken, Roger McIntyre Dordi Nordby, Hanne Woods, Marianne Haslum, Camilla Holth

Anette Norberg, Eva Lund, Cathrine Norberg, Helena Lingham Pål Trulsen, Lars Vågberg, Flemming Davanger, Bent Ånund Ramsfjell Mark Dacey, Bruce Lohnes, Rob Harris, Andrew Gibson David Nedohin, Randy Ferbey, Scott Pfeifer, Marcel Rocque Colleen Jones, Kim Kelly, Mary-Anne Waye, Nancy Delahunt Patti Lank, Erika Brown, Nicole Joraanstad, Natalie Nicholson Marie-France Larouche, Karo Gagnon, Annie Lemay, Véronique Grégoire Jason Larway, Doug Pottinger, Joel Larway, Bill Todhunter Luzia Ebnöther, Carmen Küng, Yvonne Schlunegger, Laurence Bidaud Peja Lindholm, Tomas Nordin, Magnus Swartling, Peter Narup David Murdoch, Craig Wilson, Neil Murdoch, Euan Byers Dordi Nordby, Linn Githmark, Marianne Haslum, Camilla Holth Anette Norberg, Eva Lund, Cathrine Lindahl, Anna Bergström Sebastian Stock, Daniel Herberg, Stephan Knoll, Patrick Hoffman Pete Fenson, Shawn Rojeski, Joe Polo, Doug Pottinger Brad Gushue, Mark Nichols, Russ Howard, Jamie Korab Shannon Kleibrink, Amy Nixon, Bronwen Saunders, Christine Keshen Debbie McCormick, Nicole Joraanstad, Natalie Nicholson, Tracy Sachtjen Jean-Michel Ménard, François Roberge, Éric Sylvain, Maxime Elmaleh Kelly Scott, Jeanna Schraeder, Sasha Carter, Renee Simons David Murdoch, Ewan MacDonald, Peter Smith, Euan Byers Anette Norberg, Eva Lund, Cathrine Lindahl, Anna Svärd Mirjam Ott, Binia Feltscher-Beeli, Valeria Spälty, Janine Greiner Andrea Schöpp, Monika Wagner, Anna Hartelt, Tina Tichatschke Pål Trulsen, Lars Vågberg, Flemming Davanger, Bent Ånund Ramsfjell Markku Uusipaavalniemi, Kalle Kiiskinen, Jani Sullanmaa, Teemu Salo Todd Birr, Bill Todhunter, Greg Johnson, Kevin Birr Randy Ferbey, David Nedohin, Scott Pfeifer, Marcel Rocque Glenn Howard, Richard Hart, Brent Laing, Craig Savill Jennifer Jones, Cathy Overton-Clapham, Jill Officer, Dawn Askin Debbie McCormick, Allison Pottinger, Nicole Joraanstad, Natalie Nicholson Kelly Scott, Jeanna Schraeder, Sasha Carter, Renee Simons Angelina Jensen, Madeleine Dupont, Denise Dupont, Camilla Jensen Andy Kapp, Andreas Lang, Holger Höhne, Andreas Kempf David Murdoch, Niklas Edin, Peter Smith, Euan Byers Liudmila Privivkova, Olga Zharkova, Nkeiruka Ezekh, Ekaterina Galkina Andreas Schwaller, Ralph Stöckli, Thomas Lips, Damian Grichting Kelly Wood, Jackie Lockhart, Lorna Vevers, Lindsay Wood Craig Brown, Rich Ruohonen, John Dunlop, Peter Annis Stefanie Lawton, Marliese Kasner, Teejay Surik, Lana Vey Debbie McCormick, Allison Pottinger, Nicole Joraanstad, Tracy Sachtjen Jennifer Jones, Cathy Overton-Clapham, Jill Officer, Dawn Askin Kevin Koe, Blake MacDonald, Carter Rycroft, Nolan Thiessen Kevin Martin, John Morris, Marc Kennedy, Ben Hebert David Murdoch, Ewan MacDonald, Niklas Edin, Euan Byers Anette Norberg, Kajsa Bergström, Cathrine Lindahl, Anna Svard Mirjam Ott, Carmen Schäfer, Valeria Spalty, Janine Greiner Thomas Ulsrud, Torger Nergård, Christoffer Svae, Havard Vad Petersson Wang Bingyu, Liu Yin, Yue Qingshuang, Zhou Yan Wang Fengchun, Liu Rui, Xu Xiaoming, Zang Jialiang Cheryl Bernard, Susan O'Connor, Carolyn Darbyshire, Cori Morris Erika Brown, Nina Spatola, Ann Swisshelm, Laura Hallisey Pete Fenson, Shawn Rojeski, Joe Polo, Ryan Brunt Jennifer Jones, Kaitlyn Lawes, Jill Officer, Dawn Askin Kevin Koe, Blake MacDonald, Carter Rycroft, Nolan Thiessen Kevin Martin, John Morris, Marc Kennedy, Ben Hebert Niklas Edin, Sebastian Kraupp, Fredrik Lindberg, Viktor Kjäll David Murdoch, Ralph Stöckli, Andreas Lang, Simon Strübin Mirjam Ott, Carmen Schäfer, Carmen Küng, Janine Greiner Andrea Schöpp, Monika Wagner, Corinna Scholz, Stella Heiss Thomas Ulsrud, Torger Nergård, Christoffer Svae, Håvard Vad Petersson Wang Bingyu, Liu Yin, Yue Qingshuang, Zhou Yan Pete Fenson, Shawn Rojeski, Joe Polo, Ryan Brunt Amber Holland, Kim Schneider, Tammy Schneider, Heather Kalenchuk Glenn Howard, Wayne Middaugh, Brent Laing, Craig Savill Patti Lank, Nina Spatola, Caitlin Maroldo, Mackenzie Lank Stefanie Lawton, Sherry Anderson, Sherri Singler, Marliese Kasner Jeff Stoughton, Jon Mead, Reid Carruthers, Ben Hebert Tom Brewster, Greg Drummond, Scott Andrews, Michael Goodfellow Niklas Edin, Sebastian Kraupp, Fredrik Lindberg, Viktor Kjäll Eve Muirhead, Anna Sloan, Vicki Adams, Claire Hamilton Anette Norberg, Cecilia Östlund, Sara Carlsson, Liselotta Lennartsson Thomas Ulsrud, Torger Nergård, Christoffer Svae, Håvard Vad Petersson Wang Bingyu, Sun Yue, Yue Qingshuang, Zhou Yan Glenn Howard, Wayne Middaugh, Brent Laing, Craig Savill Jennifer Jones, Kaitlyn Lawes, Jill Officer, Dawn Askin Kevin Martin, John Morris, Marc Kennedy, Ben Hebert Heath McCormick, Bill Stopera, Martin Sather, Dean Gemmell Heather Nedohin, Beth Iskiw, Jessica Mair, Laine Peters Allison Pottinger, Nicole Joraanstad, Natalie Nicholson, Tabitha Peterson Tom Brewster, Greg Drummond, Scott Andrews, Michael Goodfellow Niklas Edin, Sebastian Kraupp, Fredrik Lindberg, Viktor Kjäll Eve Muirhead, Anna Sloan, Vicki Adams, Claire Hamilton Mirjam Ott, Carmen Schäfer, Carmen Küng, Janine Greiner Margaretha Sigfridsson, Maria Prytz, Christina Bertrup, Maria Wennerström Thomas Ulsrud, Torger Nergård, Christoffer Svae, Håvard Vad Petersson Erika Brown, Debbie McCormick, Jessica Schultz, Ann Swisshelm Rachel Homan, Emma Miskew, Alison Kreviazuk, Lisa Weagle Brad Jacobs, Ryan Fry, E. J. Harnden, Ryan Harnden Jennifer Jones, Kaitlyn Lawes, Jill Officer, Dawn McEwen John Shuster, Jeff Isaacson, Jared Zezel, John Landsteiner Jeff Stoughton, Jon Mead, Reid Carruthers, Mark Nichols Niklas Edin, Sebastian Kraupp, Fredrik Lindberg, Viktor Kjäll Satsuki Fujisawa, Miyo Ichikawa, Emi Shimizu, Chiaki Matsumura Eve Muirhead, Anna Sloan, Vicki Adams, Claire Hamilton David Murdoch, Tom Brewster, Greg Drummond, Scott Andrews Margaretha Sigfridsson, Maria Prytz, Christina Bertrup, Maria Wennerström Thomas Ulsrud, Torger Nergård, Christoffer Svae, Håvard Vad Petersson Rachel Homan, Emma Miskew, Joanne Courtney, Lisa Weagle Brad Jacobs, Ryan Fry, E. J. Harnden, Ryan Harnden Jennifer Jones, Kaitlyn Lawes, Jill Officer, Dawn McEwen Mike McEwen, B. J. Neufeld, Matt Wozniak, Ben Hebert John Morris, Pat Simmons, Carter Rycroft, Nolan Thiessen Valerie Sweeting, Lori Olson-Johns, Dana Ferguson, Rachelle Brown Niklas Edin, Oskar Eriksson, Kristian Lindström, Christoffer Sundgren Eve Muirhead, Anna Sloan, Vicki Adams, Sarah Reid David Murdoch, Greg Drummond, Scott Andrews, Michael Goodfellow Anna Sidorova, Margarita Fomina, Alexandra Saitova, Ekaterina Galkina Margaretha Sigfridsson, Maria Prytz, Christina Bertrup, Maria Wennerström Thomas Ulsrud, Torger Nergård, Christoffer Svae, Håvard Vad Petersson Jennifer Jones, Kaitlyn Lawes, Jill Officer, Dawn McEwen Rachel Homan, Emma Miskew, Joanne Courtney, Lisa Weagle Erika Brown, Allison Pottinger, Nicole Joraanstad, Natalie Nicholson Kevin Koe, Marc Kennedy, Brent Laing, Ben Hebert Pat Simmons, John Morris, Carter Rycroft, Nolan Thiessen John Shuster, Tyler George, Matt Hamilton, John Landsteiner Alina Pätz, Nadine Lehmann, Marisa Winkelhausen, Nicole Schwägli Eve Muirhead, Anna Sloan, Vicki Adams, Sarah Reid Niklas Edin, Oskar Eriksson, Kristian Lindström, Christoffer Sundgren Ayumi Ogasawara, Sayaka Yoshimura, Kaho Onodera, Anna Ohmiya Thomas Ulsrud, Torger Nergård, Christoffer Svae, Håvard Vad Petersson Zang Jialiang, Xu Xiaoming, Ba Dexin, Wang Jinbo Brendan Bottcher, Darren Moulding, Brad Thiessen, Karrick Martin Chelsea Carey, Sarah Wilkes, Dana Ferguson, Rachel Brown John Epping, Ryan Fry, Matt Camm, Brent Laing Tracy Fleury, Selena Njegovan, Liz Fyfe, Kristin MacCuish Rachel Homan, Emma Miskew, Joanne Courtney, Lisa Weagle Kevin Koe, B. J. Neufeld, Colton Flasch, Ben Hebert Peter de Cruz, Benoît Schwarz, Sven Michel, Valentin Tanner Niklas Edin, Oskar Eriksson, Rasmus Wranå, Christoffer Sundgren Anna Hasselborg, Sara McManus, Agnes Knochenhauer, Sofia Mabergs Bruce Mouat, Grant Hardie, Bobby Lammie, Hammy McMillan Jr. Eve Muirhead, Lauren Gray, Jennifer Dodds, Vicky Wright Silvana Tirinzoni, Alina Pätz, Esther Neuenschwander, Melanie Barbezat Currently, the Continental Cup competition consists of five event categories in eleven draws taking place over four days.

[11] Each draw of each event contributes to a single overall score for the competing teams.

For either team to claim the Continental Cup, therefore, a minimum majority of the points must be cumulatively attained from the results in the combined events over eleven draws.

[12] Currently, for the first nine draws, all match-ups earn only one point for the winner, and a half-point for a tie.

[13] The 2020 reorganization establishing the current format also allowed the scoring to allocate 18 points for the final skins draw.

Prior to 2007, each team consisted of two sweepers and two throwers, where one man and one woman was to play each position.

All 24 players on each side were required to play in either a sweeping or throwing role in this format.

Starting in 2007, however, sweepers were eliminated to create a true "doubles" game, and any sweeping is to be done by either the thrower or the skip.

The rules from this event (with the 2007 revision) were later adopted as a separate curling discipline with the inauguration of the World Mixed Doubles Curling Championship in 2008, and became an Olympic discipline ten years later.

In 2020, this consisted of two draws (of three games each) but scrambled with four players so that they none can play with their normal mixed teams.

One point is awarded to the winner, with a half-point if the game is tied after eight ends.

In the skins competitions, blank ends will turn the hammer over to the opposing team.

Prior to 2007, one team member was to throw all six shots, while the non-throwers must sweep or skip for the thrower.

Each singles match is determined based on a points system (with 0 for missing the shot entirely, 1 if the shot remains in play but outside the house, and higher points based on where the shooter eventually lands, up to a maximum of 5 points if the shooter reaches the button), and the team with the higher score wins the game.