A connector includes a terminal, a housing configured to hold the terminal and having an insertion port for a flat conductor and a fitting chamber where the flat conductor and the terminal are in conductive contact, and an engaging projection with which the flat conductor engages in a removing direction inside the fitting chamber. The flat conductor includes an engaging recess provided in a side edge portion along an inserting direction in the fitting chamber and having an engaging edge portion configured to abut on and engage with the engaging projection in the removing direction, and a projecting piece part located between the engaging edge portion and a distal end part of the flat conductor. The fitting chamber has an escape space. When the flat conductor is removed, the projecting piece part abuts on the engaging projection, and is displaced in the inserting direction to enter the escape space.