The invention relates to polysulfonamide core-spun and wrapped composite yarns produced in the textile industry. Core-spun yarns consist of core yarn polyester yarns and externally-wrapping polysulfonamide fibers, and flame-retardant viscose filaments wrap the core-spun yarns. A conditioning friction tight composite spinning device for the composite yarns comprises a pair of dust cage friction false twisters corresponding to each spinning spindle, wherein a dust cage consists of two thin-wall sleeves and is fixed on an internal air suction pipe; the internal air suction pipe is connected witha main air suction pipe through a rubber pipe; the main air suction pipe is connected with a negative pressure fan; a conditioning groove is formed above the dust cage; a core yarn tensioner and a core yarn bobbin are arranged above a front roller and a front rubber roller; and a wrapped yarn tensioner and a wrapped yarn bobbin are arranged above a yarn guide hook. The invention has the advantages that: the polysulfonamide core-spun and wrapped composite yarns have a unique structure, a few hairs and high strength and can replace the conventional plied yarns, doubling and twisting processes are eliminated, the ration of coarse yarns can be improved by 40 percent compared with that of the conventional process, the tearing strength of the prepared fabric can be improved, and the structure of a ring spinning frame is not changed when the device is adopted.