System for contactless measurement of a plurality of internal circular geometric parameters of a turbine engine element having a rotational axis of symmetry , comprising: - said turbine engine element comprising: - a symmetrical outer lateral wall about said rotational axis of symmetry and delimiting a blind cavity of said turbine engine element ; - a symmetrical inner lateral wall about said rotational axis of symmetry , located in said blind cavity , connected to said outer lateral wall by a radial element and comprising an inner surface delimiting a blind inner cavity of the turbine engine element ; - a module for contactless measurement comprising: - a support for supporting said turbine engine element ; - an optical measuring device for transmitting several light beams on at least said inner surface of said inner lateral wall and acquiring several reflections coming from said several light beams, the optical measuring device being a tower, being mechanically coupled to said support and comprising: - a first light source for transmitting said several light beams; - a first optical sensor for acquiring said several reflections; - means of mechanical support positioned centrally on the rotational axis of symmetry of the turbine engine element to be measured, to support said first light source and said first optical sensor , said means of mechanical support being in contact with said support and resting on said support ; - said first light source and said first optical sensor being able to be inserted into said blind inner cavity ; - an electronic conversion unit for converting several signals from said first optical sensor into several values of said plurality of internal circular geometric parameters. - said turbine engine element comprising: - a symmetrical outer lateral wall about said rotational axis of symmetry and delimiting a blind cavity of said turbine engine element ; - a symmetrical inner lateral wall about said rotational axis of symmetry , located in said blind cavity , connected to said outer lateral wall by a radial element and comprising an inner surface delimiting a blind inner cavity of the turbine engine element ; - a module for contactless measurement comprising: - a support for supporting said turbine engine element ; - an optical measuring device for transmitting several light beams on at least said inner surface of said inner lateral wall and acquiring several reflections coming from said several light beams, the optical measuring device being a tower, being mechanically coupled to said support and comprising: - a first light source for transmitting said several light beams; - a first optical sensor for acquiring said several reflections; - means of mechanical support positioned centrally on the rotational axis of symmetry of the turbine engine element to be measured, to support said first light source and said first optical sensor , said means of mechanical support being in contact with said support and resting on said support ; - said first light source and said first optical sensor being able to be inserted into said blind inner cavity ; - an electronic conversion unit for converting several signals from said first optical sensor into several values of said plurality of internal circular geometric parameters. <EOS>