Growing evidence indicates the newly discovered superconductivity in Sr2RuO4 is of pwave. Also, a few experimental data of the superconductivity in Bechgaard salts (TMTSF)2X with X = ClO4 and PF6 point toward p-wave superconductivity.Here we shall review our recent works on p-wave superconductivity. First we describe the effect of impurity scattering in p-wave superconductivity. Then the vortex state both in a magnetic field parallel to the c-axis and within the a-b plane are considered. The latter geometry will provide a new method to probe the p-wave symmetry of the superconductivity.