Based on Laplace transform, Laplace inverse transform and convolution theorem and so on, the expression of the solutions to fractional order nonlinear neutral systems with multiple timevarying is derived. According to the expression of the solutions to the system, the Gramain matrix is obtained, and then the basis of judgment for the controllability of fractional order nonlinear neutral systems with multiple timevarying is given. i.e., for any given state of x0,xtf, there is a controllability function u(t), which makes the solution of the system satisfy x(tf)=xtf.