A connection control apparatus is configured such that a connection count calculator calculates a TCP connection count, which is the number of TCP connections established between a server and one or more clients on a network, of each of servers on the network. The connection control apparatus is configured such that, when a determiner determines that the calculated count is larger than or equal to a predetermined threshold value, an anomalous connection detector detects anomalous connection, and a packet controller controls packet transmission and reception over the anomalous connection.