We have been developing a compact X-ray source based on Laser Compton scattering(LCS) at Laser Undulator Compact X-ray source(LUCX) accelerator in KEK. Our aim is to take a phase contrast image with Talbot interferometer within a few minutes at present. Owing to this, we need the flux of X-ray is 1.7×107 photons/pulse with 10% bandwidth. In the accelerator, an electron beam with the energy of 18-24MeV is generated by an S-band normal conducting accelerator. An electron beam collided with a laser pulse stacked in a 4-mirror planar optical cavity and then 6-10 keV X-rays are generated by LCS. Recently, X-ray imaging experiments such as refraction contrast imaging and phase contrast imaging with Talbot interferometer has been conducted. The flux of 9keV X-rays was 3×106 photons/sec with total band. Further improvements to realize the design X-ray flux are continued.