Using a one-dimensional positron annihilation angular correlation spectromter (FWHM= 0.33mrad) and a positron lifetime spectrometer (FWHM=0.305ns)
we have performed the measurements on angular correlation and positron lifetime spectra of the gamma rays produced by positron annihilation in a series of melt-crystalline polyethylene with different crystallinities and those irradiated by 60Co with different doses. The relation between molecular structure and positron annihilation parameters is discussed.