Abstract: The growth of solutions of a class of higher order nonhomogeneous linear differential equation f^(k)+A_k-1(z)f^(k-1)+\cdots+A_0(z)f=F(z) is investigated, under the condition that the equation is controlled by the type of the coefficient \ A_0 , and some accurate estimates of the growth and zeros are obtained for the entire solutions of this differential equation.