Machine for moulding containers (3a) made of plastic material, comprising an assembly (2) for extruding tubes (3) of plastic material, a blowing assembly (5), a mould for containing containers (3a), formed by two half-moulds (4a,4b) movable upon actuation of associated first means (100), in a longitudinal direction (X-X) and symmetrically with respect to a fixed axis (Z-Z) perpendicular to said longitudinal direction, the assembly formed by the mould (4) and the associated first actuating means (100) being movable, upon actuation of second actuating means (200), in a transverse direction (Y-Y) from a position corresponding to the extrusion assembly to a position corresponding to the blowing assembly and vice versa, wherein said first means for actuation in the longitudinal direction are of the electric type and means (110) for symmetrically adjusting the distance of the two half-moulds (4a,4b) from said fixed axis (Z-Z) are provided.