A design of quasi-phase photon sieve is proposed. The pinholes of the quasi-phase photon sieve distributed in black and white plate zones have different ratios of diameter to zone width to obtain π phase shift, so that all of them have positive contribution to the field value at the desired focal point. The quasi-phase photon sieve does not need to process the rest and reduce the technology difficult of traditional phase photon sieve. Compared with the traditional photon sieve, the quasi-phase one with the same specific minimum feature size has bigger numerical aperture and smaller focal spot size. Furthermore, compared with the multi-region photon sieve, with the same specific minimum feature size and numerical aperture, the quasi-phase photon sieve has smaller focal spot size and better focus characteristics. The quasi-phase photon sieve provids a new way for the design of photon seieve with high humerical aperture.