(2S)-Naringenin, a (2S)-flavanone, is widely used in the food, chemical, and pharmaceutical industries because of its diverse physiological activities. The production of (2S)-naringenin in microorganisms provides an ideal source that reduces the cost of the flavonoid. To achieve efficient production of (2S)-naringenin in Saccharomyces cerevisiae (S. cerevisiae), we constructed a biosynthetic pathway from p-coumaric acid, a cost-effective and more efficient precursor. The (2S)-naringenin synthesis pathway genes were integrated into the yeast genome to obtain a (2S)-naringenin production strain. After gene dosage experiments, the genes negatively regulating the shikimate pathway and inefficient chalcone synthase activity were verified as factors limiting (2S)-naringenin biosynthesis. With fed-batch process optimization of the engineered strain, the titer of (2S)-naringenin reached 648.63 mg/L from 2.5 g/L p-coumaric acid. Our results indicate that the constitutive production of (2S)-naringenin from p-coumaric acid in S. cerevisiae is highly promising.