The Wildcats improved to 18-8 and 11-3 in the HAAC, while Culver-Stockton fell to 11-13 and 6-8.
Baker is now just a game back of Benedictine College for second-place in the conference standings. The Ravens lost, 70-65, at home to MidAmerica Nazarene on Saturday and are now 12-2 in the HAAC.
The Wildcats had a tough time stopping CSC's offense in the first half, as the Wildcats shot 58.6-percent from the field in the first half and went up 45-40 entering halftime.
Culver-Stockton led by as many as eight points in the first half and throughout the game, the score was tied 13 times and the lead changed hands 16 times.
Down the stretch, the Wildcats trailed 71-69 with 3:08 to go, then BriAnna Garza hit a three to give Baker the one point lead.
Rece Huddlin hit 1-of-2 free throws to give Baker the two-point advantage, but Kati Davis hit a jumper to tie things up at 73-73.
Then with the Wildcats trailing, 75-74, with 3.7 seconds left, Ciarra Washington went up and nailed two free throws to give Baker the 76-75 win.
Garza led Baker with 19 points and five assists and three other Wildcats scored in double figures, as Huddlin had a double-double with 12 points and 12 rebounds, Washington scored 11 and Alisha Fanshier finished with 17.
Mimi Reaves led all scorers with 24 points for Culver-Stockton and Baker outrebounded CSC, 39-32, on the night.
Baker will hit the road next, as they face rival No. 9 ranked MidAmerica Nazarene on Valentine's Day, Feb. 14 at 5:30 p.m. in Olathe, Kan.