Let s . ., 0 < . . ., 0 < q, p < . and .n/q < .. In this paper the authors introduce the Herz-type Triebel.Lizorkin spaces, K.,pqFs.(Rn) and K..,pqFs.(Rn),which are the generalizations of the well-known Herz-type spaces and the inhomogeneous Triebel.Lizorkin spaces. Some properties on these Herz-type Triebel.Lizorkin spaces are also given.