The crucial roles of the long noncoding RNAs (lncRNAs) in the development of ovarian cancer (OC) have been extensively studied. According to the prediction result from the Kaplan-Meier Plotter database, high expression of lncRNA proteasome subunit alpha type-3 antisense RNA1 (PSMA3-AS1) is associated with the poor prognosis in patients with OC. Thus, the study aimed to investigate the role of lncRNA PSMA3-AS1 in OC. Reverse transcription quantitative polymerase chain reaction analysis revealed that PSMA3-AS1 expression was significantly upregulated in OC cells and tissues. PSMA3-AS1 silencing inhibited OC cell proliferation, migration, and invasion, as shown by results of cell counting kit-8, colony formation, wound healing, and Transwell assays, respectively. Additionally, PSMA3-AS1 deficiency suppressed tumor growth in vivo. Mechanistically, luciferase reporter and RNA pulldown assays implied that PSMA3-AS1 served as a competing endogenous RNA for miR-378a-3p to upregulate the expression of polypeptide N-acetylgalactosaminyltransferase 3 (GALNT3). GALNT3 was a target gene of miR-378a-3p in OC. Moreover, PSMA3-AS1 activated the PI3K/Akt pathway by upregulating GALNT3 expression. Overall, PSMA3-AS1 promotes OC cell proliferation, migration, invasion, and xenograft tumor growth by activating the PI3K/Akt pathway via the miR-378a-3p/GALNT3 axis.