LSU (22-4) won for the 11th times in its last 13 games. UNO (14-13) saw its win streak end at five games.
The Tigers resume Southeastern Conference action at 6:30 p.m. Friday at Auburn. UNO plays a non-conference game at Southern University at 6:30 p.m. Friday.
The Tigers unloaded three homers Tuesday, including a solo shot by center fielder J.C. Holt to lead off the game. First baseman Clay Harris increased the lead to 2-0 when he led off the second inning with his second homer of the season and his first since Feb. 14 at Central Florida.
UNO battled back against LSU starter Jason Determann, scoring a run in the second and taking a 3-2 lead in the third on left fielder Mike Forbes' two-run blast, his fifth homer of the year.
Zeringue gave LSU the lead for good, however, with a three-run homer in the top of the fourth against UNO starter Chris Bourgeois (0-2). Zeringue, a junior from Thibodaux, La., leads the Tigers with eight home runs.
UNO pushed across a run in the seventh to cut the LSU lead to 10-5, but LSU scored two more runs in the eighth when UNO right fielder Tony Gonzalez dropped Nick Stavinoha's fly ball, allowing Gill and Dustin Weaver to cross home plate.
Freshman right-hander Michael Bonura (3-0), the second of three LSU pitchers, earned the win as he allowed one run on two hits in two innings with two walks and two strikeouts.
Determann, a sophomore left-hander, pitched the first 4.2 innings of the contest, surrendering four runs on six hits with no walks and a career- high seven strikeouts.
Sophomore left-hander Greg Smith finished the game for the Tigers, limiting the Privateers to two hits in 2.1 scoreless innings with one walk and one strikeout.
Bourgeois was charged with the loss as he allowed five runs on five hits in four innings with no walks and five strikeouts.
LSU 1 1 0 3 0 2 3 2 0 --
12 15 0
UNO 0 1 2 0 1 0 1 0 0 -- 5 10 2
E-Forbes, Gonzalez. DP-LSU
1, UNO 1. LOB-LSU 6, UNO 7.
2B-Patterson, Zeringue, Pietro 2, Gonzalez, Murray. 3B-Nuckles. HR-Holt (4), Harris, C. (2), Zeringue (8), Forbes (5).
HBP-Holt, Stavinoha. SF-Gill, Forbes. SB-Pietro. CS-Holt.
Umpires-Morse, Boudreaux, Chapman.