An upper bound to the energy density of infrared background radiation
is derived from considering the effect of gamma-gamma interactions on
the observed TeV gamma-ray spectrum of the active galaxy Markarian 421
. This upper bound proves to be the most restrictive for the wavelengt
h range of 10-12 mu m. These constraints are presently limited by the
uncertainty of extrapolating the source spectrum from 5 to 500 GeV. Ob
servations in the regime less than 100 GeV would significantly improve
these limits, allowing for a wide range of IR production models to be
constrained.