  We develop a microscopic theory of spin noise in solid-state systems at
electron paramagnetic resonance, when the spin dynamics is driven by static and
radio-frequency (RF) magnetic fields and the stochastic effective magnetic
field stemming from the interaction with environment. The RF field splits the
peaks in the power spectrum of spin noise into the Mollow-like triplets and
also gives rise to additional spin-spin correlations which oscillate in the
absolute time at the RF frequency and the double frequeqncy. Even in systems
with strong inhomogeneous broadening, the spin noise spectrum contains narrow
lines insensitive to the dispersion of the effective $g$-factors. Thus, the
measurements of spin noise at electron paramagnetic resonance provides an
access to the intrinsic spin lifetime of electrons.
