In recent years, many studies have been conducted on the expression of multiple aromatic compounds by Saccharomyces cerevisiae. The concentration of l-tyrosine, as a precursor of such valuable compounds, is crucial for the biosynthesis of aromatic metabolites. In this study, a novel function of HTZ1 was found to be related to tyrosine biosynthesis, which has not yet been reported. Knockout of this gene could significantly improve the ability of yeast cells to synthesize tyrosine, and its p-coumaric acid (p-CA) titer was approximately 3.9-fold higher than that of the wild-type strain BY4742. Subsequently, this strain was selected for random mutagenesis through an emerging mutagenesis technique, namely, atmospheric and room temperature plasma (ARTP). After two rounds of mutagenesis, five tyrosine high-producing mutants were obtained. The highest production of p-CA was 7.6-fold higher than that of the wild-type strain. Finally, transcriptome data of the htz1Δ strain and the five mutants were analyzed. The genome of mutagenic strains was also resequenced to reveal the mechanism underlying the high titer of tyrosine. This system of target engineering combined with random mutagenesis to screen excellent mutants provides a new basis for synthetic biology.