///Rifting basin is usually developed of grabens and/or half-grabens, so that the basin configuration and structural styles are distinctly impressed by different patterns of composition and superimposition. This paper named the sag controlled by multi-pieces and multi-periods of normal faults as “complex faulted sag”. By the configuration of basin compounded by contemporaneous faulted sag, the “complex faulted sags” in the Halaer-Tamsag Basin could be categorized into 4 types of composition models which are named respectively as serial, parallel, diagonal and interlaced, and by the superposed style of sequel basin, “complex faulted sags” could be divided into 3 types of superimposition models which are named respectively as inherited, imposed and neonatal.