The Tigers score twice in the first and stretched the lead to 5-0 before Ole Miss got on the board in the seventh.
Ole Miss out-hit LSU 11-10, but the Tigers had four home runs.
Tanner Mathis led Ole Miss with a 4-for-4 night at the plate and scored the Rebels’ only run.
Mike Mayers went six innings and gave up five runs, all earned, on seven hits, one walk and seven strikeouts.
Hawtin Buchanan was the second of three pitchers and in one inning gave up two runs on three hits and a walk.
Scott Weathersby pitched an inning and allowed no runs, no hits, one walk. He did allow an inherited runner to score.
Game 2 is Friday night at 7.