The recent measurements of the coherent elastic neutrino-nucleus scattering (CE \(\nu \) NS) by the COHERENT collaboration give us a capability to examine the various new physics scenarios at low energy neutrino experiments. One such new physics is the scalar leptoquarks (LQs) that arise in many extensions of the Standard Model (SM). We consider the low-scale LQ models that forbid the rapid proton decay by construction. The hypercharges of the scalar LQs are Y = 1/6 and Y = 7/6, which are part of the two electroweak doublet fields, respectively. We constrain the LQs using the COHERENT data that is consistent with the SM prediction. We find that the COHERENT measurements can put a strong bound on the LQs couplings to SM particles over a wide range of LQ masses, and the bounds are competitive with various other experiments.