A system for manufacturing at least one thermoplastic part for being integrated into a primary structure of an aircraft and formed from a blank part comprising reinforcing fibers embedded in a thermoplastic matrix having a melting temperature above 200°C, said manufacturing system comprising: - at least one first molding member and at least one second molding member configured to cooperate together along a vertical axis, said first molding member comprising a first internal face comprising a first impression configured to give a surface condition to an upper face of the blank part, said second molding member comprising a second internal face, opposite to the first internal face, comprising a second impression configured to give a surface condition to a lower face of the blank part, - at least one first heating body mounted to the first molding member along the vertical axis and configured to heat the first molding member through conduction to a heating temperature (Tint) above 200°C, so as to heat the blank through conduction to a temperature above its melting temperature, - at least one power supply device for the first heating body, - at least one first thermal insulation member positioned on the first heating body along the vertical axis and at least one second thermal insulation member positioned under the second molding member along the vertical axis, configured so as to delimit together a closed cavity in which at least the molding members (2-1, 2-2) and the first heating body are positioned, - at least one flexible sealed envelope delimiting a closed inner volume in which at least the molding members (2-1, 2-2), the first heating body and the thermal insulation members (4-1, 4-2) are positioned and - at least one suction member configured to lower the internal pressure (Pint) in the inner volume of the envelope relative to the external pressure (Pext), so as to compress the blank part between the molding members (2-1, 2-2) during its heating, in order to manufacture the thermoplastic part. - at least one first molding member and at least one second molding member configured to cooperate together along a vertical axis, said first molding member comprising a first internal face comprising a first impression configured to give a surface condition to an upper face of the blank part, said second molding member comprising a second internal face, opposite to the first internal face, comprising a second impression configured to give a surface condition to a lower face of the blank part, - at least one first heating body mounted to the first molding member along the vertical axis and configured to heat the first molding member through conduction to a heating temperature (Tint) above 200°C, so as to heat the blank through conduction to a temperature above its melting temperature, - at least one power supply device for the first heating body, - at least one first thermal insulation member positioned on the first heating body along the vertical axis and at least one second thermal insulation member positioned under the second molding member along the vertical axis, configured so as to delimit together a closed cavity in which at least the molding members (2-1, 2-2) and the first heating body are positioned, - at least one flexible sealed envelope delimiting a closed inner volume in which at least the molding members (2-1, 2-2), the first heating body and the thermal insulation members (4-1, 4-2) are positioned and - at least one suction member configured to lower the internal pressure (Pint) in the inner volume of the envelope relative to the external pressure (Pext), so as to compress the blank part between the molding members (2-1, 2-2) during its heating, in order to manufacture the thermoplastic part.