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In this letter, we propose a novel, fully generalized index-spatial (FGIS) light emitting diode (LED) modulation scheme for the optical MIMO-orthogonal frequency division multiplexing (OFDM) system. The fully generalized index-spatial (FGIS) is a spectrally efficient (SE) visible light communication (VLC) modulation scheme in which the LED indices are exploited in an innovative way to address, not only the OFDM signal time/frequency domain shaping problem but also to provide an additional spatial modulation (SM) domain. Compared to recent OFDM-LED index modulation schemes, FGIS achieves higher SE with lower number of LEDs. The simulation results surpass the proposed FGIS in giving superior improvement in both bit error rate (BER) and achievable rate (R) compared with the state-of-the-art OFDM-LED index modulation schemes.