Randolph Morris scored a career-high 25 points and Kelenna Azubuike had 14 as the Wildcats won their fifth straight and improved to 9-1.
Smith became the fourth Kentucky coach to win 200 games. Adolph Rupp won 876 at the school.
Campbell (2-7) was led by 14 points from Anthony Atkinson.
Kentucky turned the game into a runaway instantly by taking a 28-4 lead. The Wildcats had a 45-11 halftime cushion.