Abstract: The author  investigated a class of abstract non-autonomous impulsive evolution equations in Banach spaces and proved the
 Lipschitz pseudo-orbit shadowing property for the problem under relatively weak conditions by using the contraction mapping principle. The obtained results are not only applicable to specific cases, but also have universality for general equations.

Key words: impulsive evolution equation, Lipschitz pseudo-orbit shadowing property, exponential dichotomy