Evidence of deconfinement of quark matters in the observation of pulsars

Theoretical research and observational progress on the structure, compositions and the evolution of neutron stars are briefly reviewed, then the theory and observational evidence of the deconfinement and reconfinement of quark matters in the old isolated millisecond pulsars and the pulsars in binaries are discussed. To the pulsars in binaries, as the conditions are different, both of the deconfinement and the reconfinement of quark matters may take place.