The Billikens (6-6) trailed for most of the first half and went into the intermission down 38-30. They opened the second half with an 18-3 run and never trailed again.
The Camels (5-6) used an 8-1 run to close within 60-56 on Chris Clemons' free throws with 3:34 left, but Goodwin stopped the momentum with a 3-point play and Saint Louis made 9 of 12 free throws to go with Davell Roby's layup to hold on to the lead.
Johnson made all three of his 3-point attempts, all six of his free throws and 4 of 6 overall from the field for Saint Louis. Hasahn French added 11 points and 12 rebounds.
Chris Clemons had 28 points and Marcus Burk had 20, accounting for all but 18 of the Camels' points.
After first loss, No. 5 Michigan meets with Minnesota
It's been a long time since Michigan coach John Beilein could use a loss as a learning experience for his players.
LSU jelling as a team
Head coach Will Wade shares his thoughts on the Tigers' performance against the Gamecocks and their 4-0 start in SEC play.
Mississippi State picking up momentum
Senior Quinndary Weatherspoon talks about where he can improve and what the future holds for the Bulldogs.