  We studied the feasibility of the measurement of Higgs pair creation at a
Photon Linear Collider (PLC). From the sensitivity to the anomalous
self-coupling of the Higgs boson, the optimum $\gamma \gamma$ collision energy
was found to be around 270 GeV for a Higgs mass of 120 GeV/$c^2$. We found that
large backgrounds such as $\gamma \gamma \rightarrow W^+W^-, ZZ,$ and
$b\bar{b}b\bar{b}$, can be suppressed if correct assignment of tracks to parent
partons is achieved and Higgs pair events can be observed with a statistical
significance of $\sim 5 \sigma$ by operating the PLC for 5 years.
