Process for manufacturing a fuel tank equipped with an internal accessory and having a plastic wall produced from a parison, the process including, in order, the following steps: a) the accessory and the molten parison are introduced into a mould so that the accessory is surrounded by the parison, the mould including cavities equipped with at least one moving part; b) a pressurized gas is introduced inside the parison to carry out a pre-blow moulding of the parison; c) the pre-blow-moulded parison is pressed locally against the accessory using the moving part in order to firmly attach the two without piercing the parison; d) the mould is closed and the final blow moulding of the parison is carried out by flattening it against the mould cavities using the pressurized gas; and e) the tank is removed from the mould.