Solubility measurements of methane and of xenon in the ionic liquid 1-n-butyl-3-methylimidazolium methyl sulfate ([bmim][CH3SO4]) were performed with a high-pressure view-cell technique based on the synthetic method. The temperature ranged from 293.1 K to 413.2 K, and the maximum pressure (the maximum gas molality) was 8.9 MPa (0.19 mol center dot kg(-1)) for methane and 11.3 MPa (0.65 mol center dot kg(-1)) for xenon. Both gases become less soluble in [bmim][CH3SO4] with rising temperature, but xenon shows a significantly higher solubility at all conditions investigated. An extension of Henry's law is employed to correlate the solubility pressures in both cases. The final results for the Henry's constant (at zero pressure) of methane and xenon in [bmim] [CH3SO4] (on the molality scale) are correlated within the experimental uncertainty (about +/- 1.3 %) by 1n(k(H,CH4)((0))/MPa) = 6.216 - 564.5/ (T/K) - 0.002566(T/K) and 1n(k(H,Xe)((0))/MPa) = 5.5906 - 928/(T/K) - 0.00141(T/K), respectively.