A sealed threaded tubular connection which is resistant to successive pressure loads comprises a male element (1) including a male threading (3) and a female element (2) including a female threading (4) corresponding to the male threading (3). At least one of the elements comprises a lip (5) extending beyond the threading (3) to the free end of the element (6) and the other element comprises a recess (10) for the lip (5). The lip (5) comprises a first zone (7) with a peripheral surface turned towards the other element on which a first sealing surface (13) is disposed which can be radially interference fitted against a corresponding second sealing surface (11) disposed on the peripheral surface of the recess (10) of the other element. The lip (5) has a second axially located zone (8) between said first zone (7) and the free end of the element (6) which comprises a first radial bearing surface (14) turned towards the other element in contact with a corresponding second radial bearing surface (12) disposed on the peripheral surface of the recess (10) of the other element. The first and second zones (7, 8) are axially separated by a third zone (9) with a radial stiffness which is lower than the first and second zones (7, 8). This third zone (9) is capable of being radially deformed towards the other element by a pressure exerted thereon.
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