A tube connector includes a pair of matching press members, each having an enlarged exposed portion and at least two angularly spaced insert portions extending from the exposed portion. The insert portions of one press member form cylindrical members with the insert portions of the other press member. Each cylindrical member formed is inserted into one end of a respective tube such that a distal end of the respective tube abuts against the exposed portion of the press members. The exposed portion of each press member is provided with a counterbore having a truncated conical portion and a cylindrical portion. The head portion of a bolt and a nut, which engages the threaded shaft portion of the bolt, are each received in the truncated conical portion of the counterbore in a respective one of the press members. The bolt is rotated so as to move the nut axially along the threaded shaft portion between a first position, wherein the flat first sides of the press members abut against one another, and a second position, wherein the flat first sides are spaced apart and the press members tightly press against an inner surface of the respective tube.