Method for determining the bend of a tubular deformable structure of the offshore oil pipe type, characterized in that this method comprises: - the determination of the inclination of first and second rigid objects (54, 56) in a fixed reference frame of reference (X, Y, Z) relative to the direction of the Earth's gravitational field, said rigid objects being fixed in distinct locations along and on said offshore oil pipe, the determination of the inclination of each of said objects comprising: - the supply of a plurality of accelerometers (A 1,.,.A N) rigidly linked by the object, each of these accelerometers being able to measure an acceleration in at least one direction of measurement (vj), the respective directions of measurement of at least two of said accelerometers being non-collinear; - the measurement, by said accelerometers, of the components of the Earth's gravitational field along said directions of measurement, this measurement providing, for each of said directions, a measurement value, denoted m j for a direction of measurement of index i; - the solving of the following matrix equation to determine the inclination Φ of the object relative to the reference frame of reference: M = A cos φ − sin φ sin η − sin φ cos η with M being the vector of which the ith component is defined by the measurement m j, A being a matrix defined by the directions of measurement of the accelerometers in a reference frame secured to the object, and η being an angle of rotation of this secured reference frame relative to the fixed reference frame; - the determination of the bend of the tubular structure from the inclinations determined for the first and second objects (54, 56). - the determination of the inclination of first and second rigid objects (54, 56) in a fixed reference frame of reference (X, Y, Z) relative to the direction of the Earth's gravitational field, said rigid objects being fixed in distinct locations along and on said offshore oil pipe, the determination of the inclination of each of said objects comprising: - the supply of a plurality of accelerometers (A 1,.,.A N) rigidly linked by the object, each of these accelerometers being able to measure an acceleration in at least one direction of measurement (vj), the respective directions of measurement of at least two of said accelerometers being non-collinear; - the measurement, by said accelerometers, of the components of the Earth's gravitational field along said directions of measurement, this measurement providing, for each of said directions, a measurement value, denoted m j for a direction of measurement of index i; - the solving of the following matrix equation to determine the inclination Φ of the object relative to the reference frame of reference: M = A cos φ − sin φ sin η − sin φ cos η with M being the vector of which the ith component is defined by the measurement m j, A being a matrix defined by the directions of measurement of the accelerometers in a reference frame secured to the object, and η being an angle of rotation of this secured reference frame relative to the fixed reference frame; - the supply of a plurality of accelerometers (A 1,.,.A N) rigidly linked by the object, each of these accelerometers being able to measure an acceleration in at least one direction of measurement (vj), the respective directions of measurement of at least two of said accelerometers being non-collinear; - the measurement, by said accelerometers, of the components of the Earth's gravitational field along said directions of measurement, this measurement providing, for each of said directions, a measurement value, denoted m j for a direction of measurement of index i; - the solving of the following matrix equation to determine the inclination Φ of the object relative to the reference frame of reference: M = A cos φ − sin φ sin η − sin φ cos η with M being the vector of which the ith component is defined by the measurement m j, A being a matrix defined by the directions of measurement of the accelerometers in a reference frame secured to the object, and η being an angle of rotation of this secured reference frame relative to the fixed reference frame; - the determination of the bend of the tubular structure from the inclinations determined for the first and second objects (54, 56).