The flow choking in a double orifice is expected to depend on cross-sectional area ratios of the orifices, upstream Mach number and total pressure loss between the orifices. However, no research has been reported on the problems of the compressible flow through a double orifice so far. The present study investigated analytically the choke conditions of the compressible gas through a double orifice, using a simple compressible theory. The orifice area ratio, upstream Mach number, and total pressure loss were involved to find the effects that they have on the flow choking. The results of analytical method show that for orifice area ratios below 1.0, flow choking moves from the first to the second orifice as the total pressure loss increases, however, for orifice area ratios over 1.0, it occurs only at the second orifice.