Abstract: Apparatus and method are provided for coupling engagement of misalignable flanges disposed around the exterior of first and second tubular ends which may be initially rotatably or pivotally disposed with respect to one another, each of the flanges having at least one passage which is exteriorly conically tapered in a first direction therethrough. In one embodiment, the apparatus provides plug means which are exteriorly conically tapered in the first direction for companion tapered receipt within each of the conically tapered passages, the relative taper of the passage and the plug means preventing the plug means from freely passing through the respective passage. The plug means has a bore which is disposed therethrough with the center line of the bore being eccentrically defined away from the planar axis of the plug means. Means are provided which are companionly receivable through the bore of the plug means for securement with the plug means and for engaging the flanges.