At Brigham Young University (BYU), Haws was named the 2014 West Coast Conference Men's Basketball Player of the Year and set the school record for career points.

As a junior in 2007–08, he averaged 20.6 points, 4.6 rebounds and 3.1 assists per game as he helped Lone Peak with the state championship for a second straight year.

In the 2008 Houston Kingwood Classic, Haws led Salt Lake Metro into the round of 16, scoring 35 points against California powerhouse Compton Magic.

[4] He also led the Lone Peak AAU team to the round of 8 in the Las Vegas Spring Showcase a week later.

[5] Haws was recruited by Wake Forest, BYU, Utah, Stanford, Cal, Harvard, Penn, Marquette, UCLA, Pepperdine, USC, and Davidson.

While coming up short in the quest for three straight 5A state titles, Haws won a second consecutive Mr. Basketball Award.

[7] He was selected to play in both the Senior Showcase High School All-Star Weekend as well as the Academic All-American Classic.

[11] After the game, BYU head coach Dave Rose said, "Tyler is such a consistent, energy kind of player.

He went on to be named WCC Player of the Week again on January 14, 2013 after averaging 24 points and shooting .643 from the field, .400 from three and .909 from the free-throw line against Pepperdine and Santa Clara.

For the season, he averaged 21.7 points, 4.6 rebounds, 2.0 assists and 1.3 steals and shot .483 from the field, .381 from three and .877 from the free throw line.

He was named WCC Player of the Week on January 13, 2014 for averaging 33.0 points in wins over Loyola Marymount and Pepperdine.

Ten days later, he scored a career high 48 points against Portland for third all-time in BYU history and tied for the most in the NCAA in 2013–14; he also set career highs in field goals made and attempted and three-point field goals attempted.

[22] He went on to be named WCC Player of the Week again on February 1, 2014 for averaging 35.5 points, 4.5 rebounds and 2.0 steals per game in wins over Pacific and Saint Mary's.

On February 26, 2015, Haws passed Jimmer Fredette for all-time leading scorer at BYU against Portland.