  The photoproduction of $P$-wave doubly charmed baryon ($\Xi_{cc}$) is
investigated in the context of future high-energy and high-luminosity $e^+e^-$
colliders. The direct photoproduction via the sub-process $\gamma+\gamma
\rightarrow \Xi_{cc} +\bar{c}+\bar{c}$ and the resolved channel $\gamma+g
\rightarrow \Xi_{cc} +\bar{c}+\bar{c}$ are considered. Within the framework of
non-relativistic QCD, the calculation encompasses four $P$-wave $(cc)$-diquark
configurations: $(cc)_{\bar{\textbf{3}}}[{}^1P_1]$,
$(cc)_{\textbf{6}}[{}^3P_0]$, $(cc)_{\textbf{6}}[{}^3P_1]$ and
$(cc)_{\textbf{6}}[{}^3P_2]$. The two $S$-wave states,
$(cc)_{\bar{\textbf{3}}}[{}^3S_1]$ and $(cc)_{\textbf{6}}[{}^1S_0]$, are also
included for comparison. The cross sections, as well as the differential
distributions involving transverse momentum, rapidity, and angular variables,
have been computed. Numerical results reveal that the resolved photoproduction
process plays a significant role and can provide dominant contributions. The
photoproduction rate of the $P$-wave $\Xi_{cc}$ is approximately one order of
magnitude lower than that of the $S$-wave.
