  Using the NRQCD factorization formalism, we calculate the total cross section
for the photoproduction of h_c mesons. We include color-octet and color-singlet
mechanisms as well as next-to-leading order perturbative QCD corrections. The
theoretical prediction depends on two nonperturbative matrix elements that are
not well determined from existing data on charmonium production. For reasonable
values of these matrix elements, the cross section is large enough that the h_c
may be observable at the E831 experiment and at the HERA experiments.
