Optical injection locking is a simple method for synchronizing a laser to an external laser source by injecting part of the external laser light into the cavity of the other laser. This approach received significant interest due to its potential applications in telecommunications, precision metrology, and more. We study and analyze the steady-state and dynamic properties of optical injection locking in white light cavity (WLC) lasers. We derive the steady-state injection locking range of the WLC laser and the dynamic (“Adler”) equation for the phase-difference between the injected signal and the locked laser output. The analysis shows that WLC lasers can exhibit an order of magnitude broader locking range and three order of magnitudes faster dynamics compared to conventional lasers with similar thresholds and free spectral ranges.