Arbitrarily-cut lace fabric of non-hot-melt material includes a fabric body knitted on a lace machine. The fabric body has a main body knitted by using two filament bars and two spandex bars. A pattern layer, formed by knitting an elastic yarn or filament following a weft insertion structure or a looping structure using a pattern bar, is provided on the main body, and an elastic weft opening layer, a warp opening layer and a tight resistance layer are further provided inside the main body. The present invention has the advantages of good tensile properties in the warp and weft directions, which can be stretched freely in all directions and is not prone to falling apart after being cut, and can be widely used in underwear, corsets. sports, and leisure clothing.