A high current connector and a socket connector of the high current connector are provided. The high current connector includes a first connector, a resilient electrical conductor and a second connector. The first connector includes an insertion slot. The resilient electrical conductor is received in the insertion slot and includes a resilient body, an insertion space formed inside the resilient body, and gaps arranged annularly on the resilient body. The second connector includes a conductive element inserted in the insertion space, the conductive element is electrically connected to the first connector through the resilient electrical conductor and is fixed in the insertion slot by means of stretchable configuration of the gaps. Accordingly, the resilient electrical conductor tightly fixes the conductive element to achieve reliable and safe connection and also improve contact quality.