The Chebyshev spectral collocation method is proposed to solve Volterra type integral-differential equations. Firstly, the integral-differential equation is rewritten into an equivalent system of Volterra integral equations of the second type, and Clenshaw-Curtis point is taken as the collocation point, then Clenshaw-Curtis quadrature rule is used to discretize the integral term in the equation to obtain the collocation equations, and finally the error analysis is conducted in L∞ norm space and numerical examples are presented to verify the theoretical results. The method has spectral accuracy and is easy to implement.