A terminal structure of an electrical connector has continuous terminals and a connection material tape with projections reapectively connected to the continuous terminals, which are formed by pressing a metal plate. Each terminal includes an extension having a first end and a second end, a connection having a first end connected to the first end of the extension and a second end formed with a to-be-broken portion connected to the projection, and a contact connected to the second end of the extension. The to-be-broken portion is broken to separate the terminal from the material tape. The contact has two elastic arms with a gap therebetween, and the two elastic arms have contact surfaces close to each other. The extension is horizontal and has a twisted portion to make the contact vertical so that the two contact surfaces of the contact may contact an inserted male terminal in vertical directions.