<p>The adaptive tracking control is studied in this paper for a class of random nonlinear systems with input delay and saturation. To address input delay, a time-varying compensation system is introduced and then a corresponding adaptive controller with time-varying gain is presented to achieve the tracking task. On that basis, the adaptive tracking control under input delay and saturation is further respectively considered by two distinct approaches. One method is to still utilize a time-varying auxiliary system to compensate for input saturation and input delay, then a revised adaptive controller with time-varying gain is accordingly given based on input delay and saturation. The other approach turns the considered issue into a random quadratic programming problem and check its Karush-Kuhn-Tucker conditions, and then the optimal analytical controller is obtained under input delay and saturation. These control strategies presented in this paper enhance the tracking performance and system stability. These improvements are illustrated by applying these developed control schemes for random surface vessel system.</p>