We demonstrate the operation of a quasi-continuous-wave optical parametric oscillator (OPO) in the red part of the visible spectrum by direct pumping from a frequency-doubled quasi-continuous-wave Nd:YAG laser. The OPO is singly resonant and based on a MgO-doped periodically poled stoichiometric lithium tantalate crystal. A single-frequency 1.2 W output power is obtained when an etalon is inserted inside the cavity.