A method for continuous production of a composite material profile by injection-pultrusion from at least one reinforcing fabric and at least one thermoplastic polymer, said method comprising at least the stages consisting of: - a) having available a thermoplastic polymeric composition of viscosity less than or equal to 50 Pa.s and based on one or more thermoplastic polymers in the molten state and, - b) having available a reinforcing fabric at a temperature less than 400°C preferably 350°C, and greater than or equal to the temperature of said polymeric composition in the molten state, - c) impregnating said fabric from stage b) with said polymeric composition from stage a); - d) shaping said fabric impregnated with said polymeric composition to form said profile, method in which: - i) said fabric is continuously pulled with a pulling speed of at least 0.4 m.min -1 in the course of said process; - ii) the impregnation stage c) is performed by injection of said polymeric composition in the molten state through the fabric; - iii) the fabric impregnated with said polymeric composition is shaped in stage d) with a thermal profile such that: - its surface temperature is less than the crystallization temperature of said polymeric composition if semi-crystalline and less than 125°C above the glass transition temperature (Tg) of said polymeric composition if amorphous, and - its core temperature is greater than the crystallization temperature of said polymeric composition if semi-crystalline and higher than 50°C above the glass transition temperature (Tg) of said polymeric composition if amorphous; in which the impregnation c) and shaping d) stages proceed in a common channel comprising successively a hot entry zone, a hot impregnation zone having an injection chamber, a thermal control zone and a shaping zone; or the impregnation c) and shaping d) stages proceed in two distinct and consecutive channels, the first channel comprising successively a hot entry zone and a hot impregnation zone having an injection chamber, the second channel comprising a shaping zone; wherein a thermal control zone is provided between the two channels; in which said fabric impregnated with said polymeric composition is cooled in the thermal control zone; and in which the viscosity, in the molten state, is measured by means of a plate-plate rheometer of diameter 50 mm, with an incremental shear scan ranging from 1 to 160 s -1; the polymeric material to be assessed is in the form of granules, possibly of a film of thickness 150 μm; when the polymeric composition is comparable to a semi-crystalline material, it is brought to a temperature ranging from 10 to 100°C above its melting point and the measurement is then performed; when the polymeric composition is comparable to an amorphous material, it is brought to a temperature of 100 to 250°C above the glass transition temperature, and the measurement is then performed. - a) having available a thermoplastic polymeric composition of viscosity less than or equal to 50 Pa.s and based on one or more thermoplastic polymers in the molten state and, - b) having available a reinforcing fabric at a temperature less than 400°C preferably 350°C, and greater than or equal to the temperature of said polymeric composition in the molten state, - c) impregnating said fabric from stage b) with said polymeric composition from stage a); - d) shaping said fabric impregnated with said polymeric composition to form said profile, - i) said fabric is continuously pulled with a pulling speed of at least 0.4 m.min -1 in the course of said process; - ii) the impregnation stage c) is performed by injection of said polymeric composition in the molten state through the fabric; - iii) the fabric impregnated with said polymeric composition is shaped in stage d) with a thermal profile such that: - its surface temperature is less than the crystallization temperature of said polymeric composition if semi-crystalline and less than 125°C above the glass transition temperature (Tg) of said polymeric composition if amorphous, and - its core temperature is greater than the crystallization temperature of said polymeric composition if semi-crystalline and higher than 50°C above the glass transition temperature (Tg) of said polymeric composition if amorphous; in which the impregnation c) and shaping d) stages proceed in a common channel comprising successively a hot entry zone, a hot impregnation zone having an injection chamber, a thermal control zone and a shaping zone; or the impregnation c) and shaping d) stages proceed in two distinct and consecutive channels, the first channel comprising successively a hot entry zone and a hot impregnation zone having an injection chamber, the second channel comprising a shaping zone; wherein a thermal control zone is provided between the two channels; in which said fabric impregnated with said polymeric composition is cooled in the thermal control zone; and in which the viscosity, in the molten state, is measured by means of a plate-plate rheometer of diameter 50 mm, with an incremental shear scan ranging from 1 to 160 s -1; the polymeric material to be assessed is in the form of granules, possibly of a film of thickness 150 μm; when the polymeric composition is comparable to a semi-crystalline material, it is brought to a temperature ranging from 10 to 100°C above its melting point and the measurement is then performed; when the polymeric composition is comparable to an amorphous material, it is brought to a temperature of 100 to 250°C above the glass transition temperature, and the measurement is then performed.