Since Jerry York began his tenure as coach at BC in 1994, the series has been played regularly, receiving the moniker "Holy War on Ice," a reference to the football rivalry.

The victor of the game between the Eagles and Irish is awarded the Lefty Smith – John "Snooks" Kelley Memorial Trophy, named for the teams' coaches when the series began in 1969.

[7] The two teams met twice annually during those four seasons, and their first contest as conference foes took place outdoors at Frozen Fenway in Boston, MA, where the Eagles skated to a 4–3 victory.

The Eagles and Irish were slated to face each other in the first round of the 2021 NCAA tournament, playing in the Northeast regional at the Times Union Center, in Albany, New York.

However, before the postseason meeting could happen, Notre Dame was forced to withdraw from the tournament due to positive COVID-19 tests among the team's personnel; the match was ruled a no-contest as the Eagles automatically advanced to the Regional Final.