A System of Triple abutments with Tconnect includes T-abutments to place at least three dental crowns over one osseointegrated implant and one T-abutment, for partial fixed cases and new total fixed segmented cases, T-Over abutments with a Plug T for use of overdentures over only one abutment and only one osseointegrated implant, a T-healing for guide specific gingival contour of the Tconnect in the healing phase and T-guides to guide the implant surgery to be positioned for the use of abutments of the system.