We report for the first time a double 45°‐cut mutually pumped phase conjugate mirror, which has high phase conjugate reflectivities and is highly insensitive to the alignment of the two incident beams. For example, two mutually incoherent incident beams can produce their own phase conjugate outputs when the angle between the incident beams is varied from as much as 7° to 140° and over 60% conjugate reflectivity can be obtained. Furthermore, the phase conjugate outputs are stable because the competition from the self‐pumped phase conjugation can be avoided easily.