A method for producing microfine fibers having low resistance to deformation and high elasticity in accordance with the present invention comprises acts of: (a) providing polymer A and polymer B; (b) melting polymer A and polymer B to make a filament; (c) drawing the filament to make a staple fiber; (d) entangling the staple fiber to form a non-woven; (e) impregnating the non-woven with a impregnating agent; and may further have the acts of (f) impregnating the nonwoven with polyurethane; (g) coagulating the non-woven with dimethylformamide (DMF); (h) washing the non-woven with hot water; (i) impregnating the non-woven with a treatment agent; (j) abrading the non-woven to attain a split type mirofine fiber substrate; and (k) bonding a coating to the microfine fiber substrate. Therefore, the method can attain an artificial leather product having low resistance to deformation and high elasticity.