LJ, a 6-foot, 190-pounder, hit .339 with a .548 slugging percentage for the Huskies in 2012, earning First-Team All-Big East honors.
"His bat is a premium tool," Twins vice president of player personnel Mike Radcliff said. "He's been a guy that's impressed us with not just his ability to hit, but he also has some pop for a guy his size."
His father, Lee, played 14 big league seasons with the Pirates, Rangers, Yankees, Blue Jays and Mets, and he was a member of New York's 1986 World Series champion team. He was selected as an All-Star in 1979 and finished his career with a .259 batting average and a .359 on-base percentage.
Lee served as first-base coach for the 2000 World Series champion Yankees and managed the Orioles from 2004-05.
Radcliff said the Twins aren't sure what position LJ will end up playing.
"He's a pretty good athlete," Radcliff said. "We'll start him off at second base and see how that goes."
Jordan Garretson is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.