A connection device for fluid lines has a housing in which at least one
housing recess is formed stepped in the longitudinal direction and
merging at an inner end thereof with a fluid duct. An attachment means is
fixed in the housing recess and defines a passage opening rendering
possible the plugging into position of a fluid line to be connected. A
sealing ring is associated with said attachment means. The sealing ring
has an inner periphery matching the outline of the fluid line to be
connected and being penetrated by the fluid line when connected. A
centering section of the housing recess is located axially within the
attachment means. An adapter ring is provided able to be inserted into
the centering section for bridging over any radial intermediate space
present between the outer periphery of the line's end section and the
inner periphery of the centering section.