The invention discloses a walking control device of a paver, which comprises a processor, a conversion module, a detection speed pulse frequency module, a switching quantity input module, a pulse width modulation module, a switching quantity output module, a pressure sensor, a potentiometer, a speed sensor, a switch, an electromagnetic valve and a proportional electromagnetic valve. The inventionfurther provides a control method for the walking control device of the paver. The control structure is simple, the operation is reliable, the deviation amount of walking of the paver can be effectively controlled, the control effect is better, and the walking deviation performance and the construction quality of the paver are further improved.