This connection apparatus shows two arrangements for receiving a connector assembly of effluent and influent halves, with this apparatus providing for the transfer and alignment of the connected halves. These assembled halves are brought to the apparatus and the halves are manipulated to effect separation, after which the effluent connector half is moved to bring the effluent connector half into alignment and axial coincidence with a new and sterile influent connector half. By and through manipulation, the halves are secured into a fluid-tight condition whereat the fluid may be caused to flow through the connected halves. In a first arrangement, the apparatus includes a sliding action, with the apparatus having a tongue-and-groove construction. The other arrangement utilizes a rotary action, with a disc-like member associated with a cup-like member. Relative movement of the two members is made to effect the transfer and alignment of the effluent and influent halves.