For the state dependent impulsive Caputo fractional differential equation, the fixed point method is used to study the existence and uniqueness of the solution. Firstly, we define a completely continuous operator, and discuss the existence of solutions of the corresponding nonimpulsive Caputo fractional equations by using Schaefer fixed point theorem and Gronwall inequality. Secondly, we obtain the existence of local and global solutions of state dependent impulsive Caputo fractional differential equations on each impulsive interval by using the monotone condition of state dependent impulsive function term and the extension method of solutions. Finally, by using the compression mapping principle, the uniqueness of the global solution of the state dependent impulsive Caputo fractional differential equation is obtained, which improve the existing results.