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We present a hybrid laser frequency stabilization method combining modulationtransfer spectroscopy (MTS) and frequency modulation spectroscopy (FMS) for thecesium D2 transition. In a typical pump-probe setup, the error signal is acombination of the DC-coupled MTS error signal and the AC-coupled FMS errorsignal. This combines the long-term stability of the former with the highsignal-to-noise ratio of the latter. In addition, we enhance the long-termfrequency stability with laser intensity stabilization. By measuring thefrequency difference between two independent hybrid spectroscopies, weinvestigate the short-term and long-term stability. We find a long-termstability of 7.8 kHz characterized by a standard deviation of the beatingfrequency drift over the course of 10 hours, and a short-term stability of 1.9kHz characterized by an Allan deviation of that at 2 seconds of integrationtime.

Laser frequency stabilization by combining modulation transfer and frequency modulation spectroscopy