A class of two-degree-of-freedom multiple constraint mechanics model of the vibro-impact system was considered. According to the oscillator possible sticking situation, the explicit solution of every possible situation was worked out. Through the sticking motion’s necessary condition, we prove that the two oscillators won't appear sticking at the same time when the constraints are in different side. When constraints are located in the same side, by adjusting the parameters, the sticking may occur at the same time. That was called temporarily “motionless” situation. Finally, numerical calculation verified the cycle sticking motion and rising phenomena when the constraints are in different side and temporarily “motionless” situation when constraints are located in the same side. By numerical calculation, one can see that temporary "motionless" situation generally happens or ends by two vibrators successively entering or leaving sticking motion. It is not that the two oscillators are sticking or end at the same time.