Argon and neon crystallize in the face‐centered cubic structure (Fm3m,z= 4) at 11.5±0.5 and 47.4±0.5 kbar, respectively, at 293 K. Single‐crystal cell dimensions were obtained at 82 kbar for argon and 144 kbar for neon with high‐pressure, x‐ray diffraction techniques. The data were corrected to 0 K and fitted to a second‐order Murnaghan equation of state withV0andK0constrained to results obtained in low‐temperature experiments. No solid‐solid phase transitions are observed to the highest pressures studied.