Abstract: A woven or knitted polyester multifilament fabric having a silk-like appearance and touch, comprised of polyester multifilament yarns containing one or more types of porous polyester filaments each having an irregular cross-sectional profile, for example, C-, L- or V-shaped profile, and numerous fine linear concave parts formed on the peripheral surface thereof and extending along the longitudinal axis of each individual filaments, the fabric being characterized by a group of said concave parts corresponding to a half of the entire number of the concave parts, each having a length of 5 microns or more and a ratio of the length to the width of each concave part of 5 or more.