The Wildcats raced to a 16-point halftime lead and held off the Colonials behind Turner, who scored 11 second-half points.
Shawnta Rogers scored 12 of his 15 points in the second half for George Washington (3-1), which will play Boston College in the consolation round on Tuesday.
Kentucky led by four points early in the second quarter before scoring 15 straight points. Two free throws by Scott Padgett followed by two from Heshimu Evans increased Kentucky's lead to eight before Nazr Mohammed's tip-in made it 22-12 with 6:56 left in the second quarter.
Turner made a layup, Evans a 15-foot jumper and Jamaal Magloire a free throw for a 27-12 advantage with 3:10 remaining in the half. A follow by Magloire and a dunk by Michael Bradley capped the burst and gave the Wildcats a 31-12 bulge with 2:20 to go.
Kentucky held George Washington to seven points in the period and built a 33-17 halftime lead. The Colonials hit just 19 percent of their shots in the quarter.
The Wildcats extended the lead to 52-32 entering the fourth quarter and increased it to 55-34 on Turner's 3-pointer with 8:15 remaining. But Alexander Koul converted a three-point play and Roey Eyal hit a baseline jumper. After a layup by Jeff Sheppard, Rogers buried a 3-pointer to cut the deficit to 57-42 with 6:29 to go.
Turner answered with a 3-pointer to build the lead back to 18, but the Colonials closed within 11 at 64-53 on a layup by Antxon Iturbe with 1:12 to play. Turner followed with a free throw, Mills made two and Turner threw down a dunk to make it 69-53 with 31 seconds to go.
Sheppard scored 10 points for the Wildcats, who shot 36 percent (22-of-61) from the floor and held a 54-41 rebounding advantage.
Yegor Mescheriakov scored 12 points and Iturbe had 10 and 10 rebounds for the Colonials, who shot 34 percent (24-of-70).
(7) Kentucky 70, George Washington 55 KENTUCKY (70) fg ft rb min m-a m-a o-t a pf tp Edwards 23 3-7 0-0 1-5 2 2 7 Padgett 23 3-6 2-2 1-6 3 4 8 Magloire 18 1-2 2-4 1-5 0 3 4 Turner 32 6-11 1-3 1-3 2 1 16 Sheppard 33 1-10 8-10 0-6 2 0 10 Mohammed 14 2-8 2-4 4-7 1 3 6 Evans 25 1-9 4-4 7-11 4 1 6 Mills 11 2-4 2-2 0-2 1 1 7 Smith 8 0-1 0-0 0-1 0 0 0 Anthony 1 0-0 0-0 0-0 0 0 0 Bradley 12 3-3 0-1 0-3 0 1 6 _______________________________________________ TOTALS 200 22-61 21-30 15-49 15 16 70 _______________________________________________ Percentages: FG-.361, FT-.700. 3-Point Goals: 5-14, .357 (Edwards 1-3, Padgett 0-2, Turner 3-4, Sheppard 0-3, Evans 0-1, Mills 1-1). Team rebounds: 6. Blocked shots: 8 (Magloire 3, Mohammed 3, Turner, Edwards). Turnovers: 19 (Edwards 4, Magloire 3, Padgett 3, Turner 3, Mohammed 2, Sheppard 2, Evans, Mills). Steals: 12 (Turner 8, Edwards 2, Evans 2). GEO WASHINGTON (55) fg ft rb min m-a m-a o-t a pf tp Ngongba 20 1-7 0-3 2-2 0 3 2 Mescheriakov 31 6-12 0-0 1-7 1 3 12 Koul 26 3-7 2-4 3-6 0 4 8 Green 8 1-5 0-0 1-1 1 2 2 Rogers 38 6-17 0-0 1-5 5 2 15 Brade 15 1-6 0-0 1-1 0 3 2 Iturbe 29 4-8 2-3 2-10 0 4 10 De Miranda 4 0-0 0-2 0-1 0 0 0 Krivonos 11 1-3 0-1 0-1 3 2 2 Eyal 8 1-2 0-0 0-1 3 0 2 Camara 5 0-3 0-0 0-0 0 1 0 Hazzard 5 0-0 0-0 0-0 0 0 0 _______________________________________________ TOTALS 200 24-70 4-13 11-35 13 24 55 _______________________________________________ Percentages: FG-.343, FT-.308. 3-Point Goals: 3-12, .250 (Mescheriakov 0-1, Rogers 3-7, Krivonos 0-1, Camara 0-3). Team rebounds: 5. Blocked shots: 1 (Koul). Turnovers: 21 (Mescheriakov 6, Rogers 5, Koul 3, Brade 2, Iturbe 2, Eyal, Green, Hazzard). Steals: 7 (Mescheriakov 2, Rogers 2, Iturbe, Koul, Ngongba). __________________________________ Kentucky 33 37 - 70 Geo Washington 17 38 - 55 __________________________________ Technical fouls: None. A: 2,500. Officials: Ted Valentine, Carl Hess, Peterson.