A coupling system for the coupling of pipes by means of basic bodies and an adapter piece, with: - a first base body and a second base body, wherein both in each case comprise a passage for a fluid and in each case one internal, predetermined circumferential recess and in each case one arresting surface, - the adapter piece with a longitudinal axis and an axially-extending passage for the fluid und an with a first end and with an opposite second end, wherein the first end comprises at least one predetermined first circumferential recess which extends at least in part along a circumference of the first end, and the second end comprises at least one predetermined second circumferential recess which extends at least in part along a circumference of the second end, wherein the first base body is assigned to the first end of the adapter piece and the second base body is assigned to the second end of the adapter piece, wherein the circumferential recess (4, 5) assigned to the respective end (2, 3) of the adapter piece and the interior circumferential recess of the respective base body are opposite to each other in a state wherein one is inserted into the other and form a receiving space, wherein the first and second base bodies each comprise at least a first and a second access space (27, 28), wherein the respective access space (27, 28) extends between an outer surface of the respective base body and the respective receiving space, wherein the first access space is assigned to one end of the respective receiving space and the second access space is assigned to an opposite end of the respective receiving space; and - at least two latching elements, wherein one of the at least two latching elements, through the respective first or second access space (27, 28), can be inserted into the respective receiving space, and the respective latching element comprises an arresting element with an arresting catch, which engages on the arresting surface of the respective base body to prevent the respective latching element from accidentally sliding out of the assigned receiving space. - a first base body and a second base body, wherein both in each case comprise a passage for a fluid and in each case one internal, predetermined circumferential recess and in each case one arresting surface, - the adapter piece with a longitudinal axis and an axially-extending passage for the fluid und an with a first end and with an opposite second end, wherein the first end comprises at least one predetermined first circumferential recess which extends at least in part along a circumference of the first end, and the second end comprises at least one predetermined second circumferential recess which extends at least in part along a circumference of the second end, wherein the first base body is assigned to the first end of the adapter piece and the second base body is assigned to the second end of the adapter piece, wherein the circumferential recess (4, 5) assigned to the respective end (2, 3) of the adapter piece and the interior circumferential recess of the respective base body are opposite to each other in a state wherein one is inserted into the other and form a receiving space, wherein the first and second base bodies each comprise at least a first and a second access space (27, 28), wherein the respective access space (27, 28) extends between an outer surface of the respective base body and the respective receiving space, wherein the first access space is assigned to one end of the respective receiving space and the second access space is assigned to an opposite end of the respective receiving space; and - at least two latching elements, wherein one of the at least two latching elements, through the respective first or second access space (27, 28), can be inserted into the respective receiving space, and the respective latching element comprises an arresting element with an arresting catch, which engages on the arresting surface of the respective base body to prevent the respective latching element from accidentally sliding out of the assigned receiving space.