In this study, an efficient hybrid modulation scheme suitable for indoor visible light communication is proposed to improve the performance of the indoor visible light communication links. The multi-dimensional carrierless amplitude and phase (CAP) modulation technique exhibiting high spectral efficiency and the multi-pulse position modulation (MPPM) technique exhibiting high power efficiency are combined in the proposed hybrid modulation scheme. The transmission intervals of the CAP signals are controlled by the different pulse time slots of MPPM. Based on Lambertian illumination model, the theoretical symbol error rate (SER) expression of the multi-dimensional DCO(DC offset)-CAP-MPPM scheme over the Gaussian channel is derived and verified via simulation. In addition, the performances of the proposed, ordinary MPPM and multi-dimensional DCO-CAP schemes are comparatively analyzed. The numerical results denote that the SER performance of hybrid modulation is related to its pulse ratio, modulation level, and CAP dimensions. Flexible multiple access can be achieved using multi-dimensional DCO-CAP-MPPM modulation. The SER performance of the hybrid scheme is better than those of the ordinary MPPM and CAP mudulation obtained using appropriately selected parameters.