We studied the vibration-induced dipole moment of methane by observing Stark-modulation spectra of the 2v(3) band centered at 1.66 mu m. The spectral purity of an external cavity semiconductor laser and radiation density in a Fabry-Perot cavity absorption cell are sufficiently high to record sub-Doppler saturated absorption lines with a spectral resolution of 0.8 MHz. First-order Stark shifts of the E-type symmetry components in the P(2), Q(2), Q(4), Q(5), R(2), R(4), and R(5) transitions were measured, and the vibration-induced dipole moments for the v(3)=2 State were determined. Their values clearly demonstrate the Coriolis-induced dipole term, yielding [5.79(5) + 0.440(18) x (2L - 3)] mD for the J(R) level, where L is defined to be - (R + 1), 0, and R for the R = J-1, J, and J+1 levels, R and J are rotational and total angular momentum quantum numbers, and numbers in parentheses are 90% confidence intervals in unit of the last digit.