Propagation of a few-cycle laser pulses in a dense V-type three-level atomic medium is investigated based on full-wave Maxwell-Bloch equations by taking the near dipole-dipole (NDD) interaction into account. We find that the ratio, \gamma, of the transition dipole moments has strong influence on the time evolution and split of the pulse: when \gamma<=1, the NDD interaction delays propagation and split of the pulse, and this phenomenon is more obvious when the value of \gamma is smaller; when \gamma=2^{1/2}, the NDD interaction accelerates propagation and split of the pulse.