A connector reduced in depth dimension. Contact portions of first and second signal contacts and ground contacts for high-speed transmission are arranged in a housing in a row in a contact arranging direction orthogonal to a fitting/removing direction, and contact portions of contacts for non-high-speed transmission are arranged in the housing in a row in the contact arranging direction below the contact portions of the first and second signal contacts and the ground contacts. Terminal portions of the first and second signal contacts and the ground contacts are arranged in a row in the contact arranging direction, and press-fitting portions of the contracts for non-high-speed transmission are press-fitted in the housing along the direction of height of the housing, whereby they are disposed between the contacts portions and the terminal portions of the first and second signal contacts and the ground contacts.