We report a theoretical model to design a stable and tunable optical frequency comb by controlling the periodic radiofrequency signal applied to the two cascaded lithium niobate Mach–Zehnder modulators. The spectrum flatness, frequency line spacing, and spectrum bandwidth depend on the periodic optical signal’s shape, periodicity, and duty cycle. So the shape and duty cycle of the optical signal are controlled by controlling the amplitude and phase of the periodic radiofrequency signal and realizing a 2.1% duty-cycled periodic signal, resulting in a 1.92-dB flat and 2.31-THz broad-spectrum optical frequency comb. The duty cycle of the optical signal is decreased by controlling the modulators in such a way that it will give the output signal for the transition period of the radiofrequency signal only. The line spacing is controlled by controlling the frequency of the radiofrequency signal and realizes a 30-GHz channel spaced frequency comb. The comb’s channel spacing and frequency can also be controlled by controlling the periodicity of radiofrequency signal and seed laser frequency, making the frequency comb tunable.