<p>This paper conducts a comprehensive study on the stability of random nonlinear systems with non-instantaneous multiple impulses. The non-instantaneous impulse represents that the effect of the impulse on the system will last for a period of time after its occurrence, and multiple impulses imply that a multiplicity of distinct scenarios exist with respect to the intensity and its corresponding duration of the impulses. Under the premise that the types of impulses are determined by a Markov chain with a unique stationary distribution, the stability criteria are presented based on the mode-dependent average impulsive interval. In the end, the tracking control problem of a networked surface ship system suffered from random disturbance and deception attacks is researched to demonstrate the effectiveness of proposed theory.</p>