Assembly (100, 200) comprising: - a dental implant intended to be inserted into the maxillary or mandibular bone of a patient, extending between a distal connection end and a proximal anchoring end, comprising receiving means for the reception and releasable connection of an attached component of the type of final abutment or cicatrization component, on its distal connection end, said receiving means having a conically tapered female cavity, extending from the distal connection end toward the proximal anchoring end with decreasing internal diameter, - an attached component, such as a final abutment intended to directly or indirectly support a tooth prosthesis, or such as a cicatrization component made of a non-metallic biocompatible material, extending between a lower end (3b, 8b) and an upper end (3a, 8a), comprising connection means (30, 80) in order to be received and connected releasably on the distal connection end of the dental implant, - said dental implant having a maximum external diameter of less than 3 mm along the entire length thereof, characterized in that: - said connection means (30, 80) being formed by a conically tapered male fitting part (300, 800) which extends from the lower end (3b, 8b) of the final abutment or from the cicatrization component toward the upper end (3a, 8a) of the final abutment or the cicatrization component with increasing external diameter (D2, D3), - the assembly of the dental implant and of the attached component (3, 8) is made exclusively by fitting the conically tapered male fitting part (300, 800) into the conically tapered female fitting cavity by a conical connection. - a dental implant intended to be inserted into the maxillary or mandibular bone of a patient, extending between a distal connection end and a proximal anchoring end, comprising receiving means for the reception and releasable connection of an attached component of the type of final abutment or cicatrization component, on its distal connection end, said receiving means having a conically tapered female cavity, extending from the distal connection end toward the proximal anchoring end with decreasing internal diameter, - an attached component, such as a final abutment intended to directly or indirectly support a tooth prosthesis, or such as a cicatrization component made of a non-metallic biocompatible material, extending between a lower end (3b, 8b) and an upper end (3a, 8a), comprising connection means (30, 80) in order to be received and connected releasably on the distal connection end of the dental implant, - said dental implant having a maximum external diameter of less than 3 mm along the entire length thereof, - said connection means (30, 80) being formed by a conically tapered male fitting part (300, 800) which extends from the lower end (3b, 8b) of the final abutment or from the cicatrization component toward the upper end (3a, 8a) of the final abutment or the cicatrization component with increasing external diameter (D2, D3), - the assembly of the dental implant and of the attached component (3, 8) is made exclusively by fitting the conically tapered male fitting part (300, 800) into the conically tapered female fitting cavity by a conical connection.