A search for direct production of the $f_1(1285)$ resonance in $e^+e^-$ annihilation is performed with the SND detector at the VEPP-2000 $e^+e^-$ collider. The analysis is based on data with an integrated luminosity of 15.1 pb$^{-1}$ accumulated in the center-of-mass energy range 1.2--1.4 GeV. Two $e^+e^-to f_1(1285)$ candidate events are found at the peak of the resonance and zero events beyond the resonance. The significance of the $e^+e^-to f_1(1285)$ signal is $2.5sigma$. The cross section at the maximum of the resonance is found to be $sigma(e^+e^-to f_1)=45^{+33}_{-24}$ pb. The corresponding branching fraction $B(f_1(1285)to e^+e^-)=(5.1^{+3.7}_{-2.7})times 10^{-9}$. We consider this result as a first indication of the process $e^+e^-to f_1(1285)$. The measured branching fraction is consistent with the theoretical prediction.
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