  We theoretically predict the radiation-induced ``zero-resistance state'' near
half filling of the lowest Landau level, which is caused by the photon-assisted
transport in the presence of oscillating density of states due to composite
fermion Landau levels, and is analogous to the radiation-induced
``zero-resistance state'' of electrons at low magnetic fields. Based on a
non-perturbative theory, we show that the radiation field does not break the
bound state of electrons and flux quanta, i.e. composite fermions. Our
prediction is independent of the power and frequency of radiation field.
