The solar activity, following an eleven years cycle, modifies the physical properties of the resonant cavity where the oscillation acoustic modes are trapped. Its effect on p-modes frequencies is a positive shift as the solar activity grows from a minimum to a maximum (Fossat et al. 1987, Pallé et al. 1989, Elsworth et al. 1990). A continuous set of observation like the Golf data set, fron the 11 April 1996 to the 3 January 1998, allows a study of the p-modes frequency shift during a minimal solar activity. We selected 3 power spectra with differents MPSI magnetic index and with a 36 days duration of observation according to the evolution time of the magnetic index. Then, we used a mode to mode cross-correlation technique in order to estimate an individual shift of the mean frequency of n = 13 to 24, l = 0 to 3 modes by fitting a Lorentzian profile on the cross-correlation. We also investigate for a global frequency shift using the same cross-correlation technique. The results show the evidence of the frequency stability of p-modes in the 19-months GOLF data set even with the light increase of the solar activity since September 1998.