A threaded tubular connection comprising a first tubular component made up onto a second tubular component, said tubular components being intended for exploration or working a hydrocarbon well, in particular to form a landing string; • the first tubular component comprising a first substantially cylindrical body with an axis of revolution terminated by an external abutment, said external abutment being linked to the external circumference of the first body via a fourth profile with an external diameter which increases from the external abutment towards the first body, and linked to a male threaded connection portion extended by a terminal non-threaded portion forming an internal abutment surface at its axial end, such that the internal abutment is linked to the internal circumference of the first body via a first profile with an internal diameter decreasing from the internal abutment towards the inside of said first body; • the second tubular component comprising a second substantially cylindrical body defining a bearing surface at one free end for the external abutment, said bearing surface being linked to the external circumference of the second body via a third profile with an external diameter which increases from the bearing surface towards the body, the body having an initial non-threaded portion on its internal surface linking the bearing surface to a female threaded connection portion which can be made up onto the male threaded connection portion, and terminating in an internal shoulder facing the internal abutment, the internal shoulder being linked to the internal circumference of the second body via a second profile with an internal diameter which decreases from the internal shoulder towards the inside of the body; characterized in that at least one of the first profile or the second profile is convex or concave; and in that the length (L1, L2) of the first profile and/or the second profile along the axis of revolution is more than (1/16")1.5875 mm and less than the length of the terminal portion; and/or in that the length (L3, L4) of the third profile and/or the fourth profile along the axis of revolution is more than (1/16")1.5875 mm and less than the length of the initial portion. • the first tubular component comprising a first substantially cylindrical body with an axis of revolution terminated by an external abutment, said external abutment being linked to the external circumference of the first body via a fourth profile with an external diameter which increases from the external abutment towards the first body, and linked to a male threaded connection portion extended by a terminal non-threaded portion forming an internal abutment surface at its axial end, such that the internal abutment is linked to the internal circumference of the first body via a first profile with an internal diameter decreasing from the internal abutment towards the inside of said first body; • the second tubular component comprising a second substantially cylindrical body defining a bearing surface at one free end for the external abutment, said bearing surface being linked to the external circumference of the second body via a third profile with an external diameter which increases from the bearing surface towards the body, the body having an initial non-threaded portion on its internal surface linking the bearing surface to a female threaded connection portion which can be made up onto the male threaded connection portion, and terminating in an internal shoulder facing the internal abutment, the internal shoulder being linked to the internal circumference of the second body via a second profile with an internal diameter which decreases from the internal shoulder towards the inside of the body;