The method for manufacturing a hollow glass article comprises the following steps: introducing a blank (38) of the article into a finishing mold (26), and forming the article in the finishing mold (26), by injecting at least one gas and a forming pressure inside the blank (38) of the article. During formation of the article in the finishing mold (26), at least one gas injection point (54A) is displaced for directing the gas towards at least one predefined area of the blank (38), the gas being injected at least at a finishing pressure in order to form a specific inner glass distribution of the article.