In this paper, a highly sensitive methane (CH4) sensor utilizing light-induced thermoelastic spectroscopy (LITES) and heterodyne light-induced thermoelastic spectroscopy (H-LITES) techniques was developed for the first time. The sensor employed a quartz tuning fork (QTF) with a resonance frequency (f0) of 32762.80 Hz and a quality factor (Q) of 12009.824 as the detector. A continuous wavelength distributed feedback (CW-DFB) diode laser emitting at 1650.96 nm with a maximum output power of 30 mW was used for strong exciting of the target gas. Detailed testing was conducted to assess the sensor’s performance. The results revealed that both CH4-LITES and CH4-H-LITES sensors had excellent linearity concentration response. The minimum detection limit (MDL) for these two sensors was found to be 5.402 ppm and 9.742 ppm, respectively. Compared to CH4-LITES sensor, CH4-H-LITES had the ability to acquire the heterodyne signal and identify the f0 of QTF in just 2 s, showing a fast response capability.