Dort's tally is third-best in program history for by a freshman, behind Mario Bennett (35 in 1992) and Jahii Carson (34 in 2013).
ASU is 5-0 for the third time in the past 33 seasons, but has done it the past two years under Bobby Hurley. It has won 18 consecutive non-conference games during the regular season.
Freshman Taeshon Cherry added 15 off the bench. Remy Martin had 13 while battling a sprained ankle and Kimani Lawrence added 10.
"Lu was so composed throughout the game, just big shot after big shot," Coach Bobby Hurley. "I think he knows how gifted he is, how talented he is. He's a worker, got a great attitude ... he's really beyond his years."
Utah State (5-1) was led by Sam Merrill and Dwayne Brown Jr., who scored 27 and 14. The Aggies took a 47-44 lead with 15:53 left, but ASU went on a 10-3 run, including a three by Dort to lead 54-50.
"When he's (Dort) consistently making shots like that, he's just an unbelievable player because he does it all," Utah State head coach Craig Smith said. "He plays his rear end off on the defensive end, he's really a disrupter on that end of the floor and nobody even talks about that. The best scorers in the world can shoot the three, have a pull-up game and get to the rim and get freebies at the free throw line and he does all four."
Dort was 10-of-15 shooting from the floor and 11-of 14-from the free throw line.
"We survived not playing our best defense, we've been way better defensively," Hurley said. "I give a lot of credit to coach Smith, he's on the right track with his program. For a first-year coach, to have his team playing that hard and that together he's gonna do a great job there."
MOST POINTS BY A SUN DEVIL FRESHMAN35, Mario Bennett vs. #5 Arizona, Feb. 20, 1992
34, Jahii Carson vs. Stanford @Pac-12 Tournament, Mar. 13, 2013
33, Luguentz Dort vs. Utah State @Las Vegas, Nov. 21, 2018
32, Jahii Carson at Washington, Feb. 2, 2013
31, Byron Scott vs. #18 Arizona, Feb. 23, 1980
30, Jahii Carson vs. #14 Creighton @Las Vegas, Nov. 24, 2012
30, Ty Abbott vs. California, Feb. 16, 2008
29, Jamal Faulkner vs. #2 Arkansas (NCAA), Mar. 17, 1991
28, Luguentz Dort vs. Cal State Fullerton, Nov. 6, 2018 (season opener)
27, James Harden at California, Jan. 17, 2008
27, Ike Diogu vs. Oregon (Pac-10 Tournament), Mar. 13, 2003
27, Ike Diogu at #9 Oregon, Jan. 4, 2003
27, Ike Diogu vs. Lafayette, Nov. 30, 2002
27, Jamal Faulkner at Oregon, Feb. 28, 1991
27, Byron Scott vs. Arizona, Dec. 27, 1979
Arizona State wins the MGM Resorts Main Event Championship! ??
— NCAA March Madness (@marchmadness) November 22, 2018
Should @SunDevilHoops be ranked? pic.twitter.com/jHWxL5IL6z
SUN DEVIL FRESHMAN 20-POINT GAMES (1972-73 to present)
18-Jahii Carson, 2012-13
16-James Harden, 2007-08
12-Ike Diogu, 2002-03
17-Jamal Faulkner, 1990-91
5-Steve Beck, 1983-84
4-Christian Polk, 2006-07
3-Luguentz Dort, 2018-19
3-Eddie House, 1996-97
3-Ron Riley, 1992-93
3-Byron Scott, 1979-80
3-Gary Jackson, 1972-73
BEST STARTS IN SCHOOL HISTORY
12-0/2017-18
9-0/1974-75
7-0/1980-81
6-0/2013-14
5-0/2018-19
5-0/1985-86
5-0/1978-79
5-0/1975-76
5-0/1962-63
5-0/1961-62
--MORE TO COME--