A method for interconnection of two tubular organs via an opening at one end of an end portion of a first organ and an aperture in a side wall of a second organ. The end portion is initially passed through a first passage of a first element until the end portion projects past an end edge of the element, whereupon the end portion is everted round the end edge. Gripping parts of a second element with a second passage are then inserted in the second organ via the aperture. Finally, the first element with the everted portion of the first organ is inserted in the second passage, whereby the gripping parts are influenced in such a manner that they come into engagement with the inside of an edge portion of the aperture. A device for implementation of the method.