Point guard Manu Lecomte kick-started the Bears (1-0) in the second half when he took over on the offensive end. Lecomte scored 16 of his game-high 23 points in the final 20 minutes.
Forwards Terry Maston and Nuni Omot each scored 12 points to join Lecomte in double digits.
Guard Joseph Kilgore scored 10 to lead Texas AM-Corpus Christi (1-1).
The Islanders battled foul trouble for most of the game as forward Perry Francois fouled out with 8:11 left.
Both teams struggled from the free-throw line, though the Bears got there way more often. Baylor made 15 of 24 from the stripe and Texas AM Corpus Christi went 1 of 4.
Baylor started to gain some separation early in the second half with a 10-0 run that Omot capped with a 3-pointer from the corner. Omot's trey gave the Bears a 40-28 lead with 11:42 left.
Texas AM-Corpus Christi took advantage of a slow start for Baylor. The Islanders led for more than five minutes of the first half.
The Bears made just one of their first eight free throws and missed their first eight 3-point attempts as they struggled to find a rhythm.
Kilgore hit a jumper to give the Islanders a 20-19 lead with 4:40 left in the first half.
However, Baylor ended the half on a 9-2 run to lead 28-22 at the break. Lecomte hit two free throws and the Bears' first 3-pointer of the game to fuel the surge. Maston capped it with a fade-away jumper for a 28-20 lead with 50 seconds left in the first half.
Maston scored eight points and Lecomte added seven to pace Baylor in the first half.
Forward Elijah Schmidt led Texas AM-Corpus Christi in the first 20 minutes as he scored six and grabbed four rebounds.
NOTES: Baylor has won 45 consecutive non-conference home games, the second-longest such streak in the nation behind Duke, which has won 134 straight. ... Texas AM-Corpus Christi opened its season with a buzzer-beating 69-68 win over NAIA opponent Our Lady of the Lake on Friday. ... Baylor entered with a 2-1 lead in the all-time series versus Texas AM-Corpus Christi, though the Islanders won the last meeting when they posted a 73-58 victory on Dec. 4, 2004, in Waco.