The Tigers (6-4, 6-2 Southwestern Athletic Conference) moved ahead of the Bulldogs (7-3, 6-3) in the Eastern Division race and hold a tiebreaker advantage over Alabama State if they can beat Alcorn State next week.
Moore also ran for a 7-yard touchdown to open the scoring in the second quarter, and Sims's 7-yard scoring run made it 14-0 at halftime.
Alabama A&M halved its deficit in the third quarter, but Jackson State regained control with two big plays.
Bulldogs quarterback Deaunte Mason threw for three touchdowns, but the Tigers limited him to 17 completions in 40 attempts for 193 yards.
Here are some names to remember in the coaching search at Georgia.
Six days after his death from brain cancer, hundreds of people, including Michigan football players, attended a memorial service for the 5-year-old grandson of former coach Lloyd Carr on Sunday.
Purdue football coach Darrell Hazell says assistant coaches John Shoop, Greg Hudson and Rubin Carter won't return next season.
Matt Campbell becomes the youngest coach in the Big 12, named Iowa State's head coach on his 36th birthday.
A series of missteps both on and off the field led to the deserved firings of Rutgers coach Kyle Flood and athletic director Julie Hermann.
With just one final week left in the season, the playoff field is getting smaller and smaller. Cary Chow breaks down who's still in, and who got eliminated this week.
|Mississippi Valley State||1-8||1-10|
|Prairie View A&M||8-1||8-2|