Running back Bobby Meyer ran for one touchdown and caught a pass for another to help upset the ninth-ranked Bulldogs in Jackson, Miss.
Quarterback Mike Hyde threw Meyer a two-yard scoring pass on fourth down to ice the victory with 1:03 left, capping a time-killing 71 yard march.
Meyer, who ran 26 times for 122 yards on 26 carries, had scored the other touchdown on a four-yard run that gave Missouri (4-0) a 7-3 lead late in the first quarter. Hyde completed 20 of 34 passes for 191 yards.
Mississippi State (3-1) had scored first on Dana Moore's 42-yard field goal with 10 minutes left in the first quarter following fullback Al Rickey Edward's 34-yard run plus a 15-yard penalty that moved the ball to the Tiger 23.
Hyde led Missouri to a touchdown with 2:59 left in the first quarter, teaming with running back Bill White on a 24-yard pass-run play, then throwing 31 yards to flanker James Caver to the Bulldog four.
Meyer got the touchdown, reversing his field after hitting tacklers on the right side.
Missour threatened twice in the first quarter but one of the drives fell short when Bulldog linebacker Curtis Stowers recovered a fumble by Meyer at the Mississippi State 10. The teams had exchanged turnovers earlier when Missouri lost a fumble at the Bulldog 37, but regained possession the next play on a bobble by Edwards.