The present invention provides a finishing method for warp and weft double-core-spun elastic non-ironing fabrics, which is characterized in that: the warp yarn uses pure cotton 11.7tex, the weft yarn uses pure cotton 14.5tex to cover low-elastic network yarn 105D and spandex elastic yarn 70D, The mass ratio of the three is that pure cotton accounts for 90% to 95%, low elastic network yarn accounts for 5% to 8%, and spandex elastic yarn accounts for 2% to 5%. The technological process is steamed yarn, weaving, turning cloth, burning Wool, desizing, scouring, bleaching, mercerizing, liquid ammonia, moisture crosslinking, stacking, washing, tentering, pre-shrinking and inspection; the yarn is steamed by high-temperature steam to release part of the stress of the spandex elastic yarn, dyeing In the whole process, there is no processing and dry setting, which can improve the problems of fabric yellowing, low elasticity, curling, etc., and through the moisture cross-linking finishing technology, the appearance of the fabric after 30 times of washing under the AATCC 124 method can reach above 3.5, and the elasticity is in ASTM D3107 ‑2011 method can reach more than 20%. The fabric treated by the invention is soft and comfortable to wear, moderate in elasticity, good in recovery, and has excellent non-ironing effect.