The main problem of vibration blurred image restoration is how the restoration can be done under loose constraints. An effective and fast algorithm is proposed after algorithms of this field are investigated. Pseudo whitening method is applied to obtain Modulation Transfer Function(MTF) corresponding to Point Spread Function(PSF). Then PSF is obtained by solving equation set based on minimum phase theory. Under few constraints, the algorithm avoids the complexity and time-consuming of traditional iteration method. Experiments show this algorithm has high the efficiency and the ability of anti-noise.