A congestion control method of an ATM switch receiving a connection setup request, storing the received connection setup request, extracting the stored connection setup request and establishing the connection according to the extracted connection setup request, comprising the steps of,
- detecting a class having a predetermined number of the stored connection setup requests pre-assigned to said class and classified into said class that is equal to a maximum number of the stored connection setup requests for said class, the stored connection setup requests being classified into a plurality of the classes, and
- discarding the received connection setup request if said class is detected and the received connection setup request belongs to the detected class.