The present invention is directed to a new implant for a medical use enabling the fixing of at least two adjacent bone elements in a rapid, reliable and low-invasive manner. This implant is made up of a curved and hollow rod allowing the use of a sealing element. The present invention also describes a method for fixing at least two adjacent bone elements implementing this new implant. This method is especially suitable for the solidarization of at least two vertebrae for the realization of an arthrodesis.