This invention relates to a partially elastic fabric and its weaving method, comprising a mesh fabric body. The mesh fabric body includes an embroidery layer, a textured layer, a functional
yarn layer, and an elastic and reinforcing structural layer. It is woven using a
warp knitting machine. The embroidery layer is formed on the uppermost layer of the fabric through a lateral shifting and pressing mechanism of the patterned
yarn guide bars. The textured layer is formed through a double Jacquard guide bar loop-forming mechanism. The functional
yarn layer is formed through a double ground guide bar loop-forming mechanism. The elastic and reinforcing structural layer is formed by a regular mesh structure woven through the ground guide bar weft
insertion mechanism in conjunction with the loop-forming ground guide bar of the functional yarn layer. The weaving method of this invention produces a fabric with a strong structure and excellent physical properties such as wash fastness and
rubbing fastness.