We review our recent works on the vortex state in p-wave superconductors. F
irst, in a magnetic field parallel to the c-axis, the square vortex lattice
is most stable, except in the immediate vicinity of T = T-c0. Second, the
effect of impurities on H-c2 is studied, which exhibits characteristics of
unconventional superconductors. Finally, the a-b anisotropy in the upper cr
itical field in a magnetic field is considered. This anisotropy provides im
portant information about the fourfold term arising from the Fermi surface
effect.