The classes T k ( ρ ) , 0 ≤ ρ < 1 , k ≥ 2 , of analytic functions, using the class V k ( ρ ) of functions of bounded boundary rotation, are defined and it is shown that the functions in these classes are close-to-convex of higher order. Covering theorem, arc-length result and some radii problems are solved. We also discuss some properties of the class V k ( ρ ) including distortion and coefficient results.