To solve the problem of design and planning of the periodic jumping cruise trajectory for a near space powered hypersonic vehicle（NSPHV）, a trajectory simple planning method based on the flight dynamics model and multiple constraints is proposed. Firstly, a dynamic model of NSPHV is established. Secondly, According to the periodic jumping cruise flight characteristics of NSPHV, a guidance flight scheme with altitude as the node constraint and the angle of attack as the control variable is designed. The angle of attack is set as a simple segmented periodic function with respect to the height, and the connection between segment and segment uses a certain angle of attack change rate. We calculate the attack angle by using the direct method. Finally, the simulation gets the result that the jumping cruise trajectory of the NSPHV has a certain periodicity in terms of velocity, flight path angle and altitude. And, the influence of the initial height, the initial velocity and the initial flight path angle are also analyzed. The results show that this is a simple and effective periodic cruise trajectory planning method. Moreover the generated trajectory has a certain degree of stability and is not easily affected by the initial values.