Provided is a connector that has a reduced profile and is capable of bringing shielding structures of two connectors coupled together into contact with each other. A connector (10) according to the present disclosure includes a first connector (20) and a second connector (70). The first connector (20) is equipped with a first insulator (30) that includes a pair of outer peripheral walls (32) opposing each other and a fitting projection (33) formed between the pair of outer peripheral walls (32), and a first shielding member (60) supported by the first insulator (30). The second connector (70) includes a second insulator (80) equipped with a fitting recess (83) fit to the fitting projection (33), and a second shielding member (110) supported by the second insulator (80). When the first connector (20) and the second connector (70) are fitted to each other, the first shielding member (60) and the second shielding member (110) are fitted to each other.