Pitino, who last month earned his 750th career victory, improved to 400-163 in his 16th season with Louisville. His Cardinals (9-1) first had to shake off early sluggishness and a 4-for-21 start from the field to pull away from the scrappy, athletic Tigers and win their fourth in a row.
Louisville made 30 of 57 shots the rest of the way (53 percent) to finish at 44 percent from the field overall while holding TSU (4-5) to 35 percent. Snider's first double-figure game scoring in four contests set the tone followed by five teammates.
Donovan Mitchell had 12 points, Jaylen Johnson and Deng Adel 11 each and Mangok Mathiang 10 for Louisville.
Freshman point guard Demontrae Jefferson debuted with 27 points for Texas Southern, which lost its fourth straight.