In this article, new method is proposed to study the stabilizability of a nonlinear dynamic control systems  ȶΔ (ϰ)=A(ϰ)ȶ(ϰ)+B(ϰ)u(ϰ)+g(ϰ,ȶ(ϰ),u(ϰ)), ϰ∈T on a time scale T. Based on using an appropriate Lyapunov function and the derivation of sufficint conditions to be this system, uniformly stabilizable and h – stabilizable. Here, A, B ∈ L(X). Further, different numerical examples were given as an application.