Tech has now won two of its last three games, while the Tigers stay win-less in Big 12 play.
Four Lady Raiders scored in double digits, led by Casey Morris, who had a game high 15 points. Shauntal Nobles and Christine Hyde both added 12 points, while Kierra Mallard posted 10 off the bench.
It was one of Texas Tech's (16-6, 4-6 Big 12)best defensive games all season, forcing 26 Missouri (10-11, 0-10) turnovers, leading to 27 points for Tech.
The Lady Raiders also out-rebounded the Tigers 40 to 31.
Tech returns to the court Wednesday when it takes on Oklahoma State in Stillwater.