We present recent results on study of exclusive processes of $e^+e^-$ annihilation into hadrons with the SND detector. Data were collected at the VEPP-2000 $e^+e^-$ collider in the center-of-mass energy range from 0.3 to 2 GeV. In particular, we have measured the cross sections for $e^+e^-\to\pi^+\pi^-$ and $n\bar{n}$, studied the radiative decays of excited light vector mesons to $\pi^0\gamma$ and $\eta\pi^0\gamma$, and performed a search for the rare processes of $e^+e^-$ annihilation into $C$-even resonances $\eta$ and $f_1(1285)$.