Wave-front coding is a classical computational imaging technique and famous for its capability in extending the depth of focus(DOF) of incoherent imaging system. In fact, besides the DOF extension, this technique has the potentials in realizing super-resolution imaging, which is rare to be investigated in existing literatures. On the one hand, the introduction of phase mask makes defocus invariance of optical transfer function(OTF) possible and the dramatic decrease of modulus of OTF alleviates the aliasing effect owned by most digital imaging systems. In this case, a better image data suitable for super-resolution imaging could be provided. On the other hand, the prominent expansion of point spread function(PSF) allows us to obtain the real sampled PSF corresponding to any specific pitch size in a digital way using the ideal continuous optical PSF whose sampling interval could be considered as unlimitedly small. Therefore, based on these two characteristics, an amplification based single image super-resolution reconstruction algorithm was especially designed for wave-front coded imaging system and an experimental prototype camera has been fabricated to verify the effectiveness of the algorithm. The results demonstrate that the extended DOF which is more than 20 times original DOF has been obtained and at least 3X super-resolution reconstruction effect could be achieved. Besides that, the quality of reconstructed image approaches the diffraction limited level.