We present computations of the time-dependent infrared fluorescent emi
ssion-line response of molecular hydrogen (H-2) gas in interstellar cl
ouds exposed to far-ultraviolet radiation fields. In clouds exposed to
intense fields the H-2 line intensities may be much larger at early t
imes immediately following the onset of irradiation than under conditi
ons of static equilibrium. Time-dependent effects in evolving photon-d
ominated regions may be important in the fluorescent H-2 emitting regi
ons in planetary and reflection nebulae and possibly in starburst gala
xies and active galactic nuclei.