We measured the thermodynamic stability conditions for the N 2 , CO 2 , or CH 4 semi-clathrate hydrate formed from the aqueous solution of Tri-n-butylphosphine Oxide (TBPO) at 26 wt%, corresponding to the stoichiometric composition for TBPO·34.5H 2 O. The measurements were performed at the temperature range of (283.71 to 300.34) K and pressure range of (0.35 to 19.43) MPa with using an isochoric equilibrium step-heating pressure search method. The results showed that the presence of TBPO made these semi-clathrate hydrates much more stable than the corresponding pure N 2 , CO 2 , and CH 4 hydrates. At a given temperature, the semi-clathrate hydrate of 26 wt% TBPO solution + CH 4 was more stable than that of 26 wt% TBPO solution + CO 2 , which in turn was more stable than 26 wt% TBPO solution + N 2. We analyzed the phase equilibrium data using the Clausius-Clapeyron equation and found that at the pressure range of (0 to 20) MPa, the mean dissociation enthalpies for the semi-clathrate hydrates systems of 26 wt% TBPO solution + N 2 , 26 wt% TBPO solution + CO 2 , and 26 wt% TBPO solution + CH 4 were 177.75 kJ·mol -1 , 206.23 kJ·mol -1 and 159.00 kJ·mol -1 , respectively.