  In order to identify the pairing symmetry with chirality, we study
site-selective NMR in chiral p-wave superconductors. We calculate local nuclear
relaxation rate 1/T_1 in the vortex lattice state by Eilenberger theory,
including the applied magnetic field dependence. We find that 1/T_1 in the NMR
resonance line shape is different between two chiral states
p_{pm}(=p_x{pm}ip_y), depending on whether the chirality is parallel or
anti-parallel to the vorticity. Anomalous suppression of 1/T_1 occurs around
the vortex core in the chiral p_- wave due to the negative coherence term
coming from the odd-frequency s-wave Cooper pair induced around the vortex with
Majorana state.
