The invention relates to a preparation method of high-elasticity and easy-to-stick polyurethane-urea fibers. The method comprises steps as follows: 1), a polyurethane-urea dope A is prepared from polypolyols, diisocyanate and an amine chain extender in an organic solvent; 2), a polymer dope B is prepared from low-temperature softened polyurethane, a tackifier and the organic solvent through mixing; 3), the dope B is added to the dope A, the two dopes are mixed sufficiently and cured, a spinning dope is obtained, and the polyurethane-urea fibers are obtained with a dry spinning technology. Theprepared polyurethane fibers have good elastic recovery rate and excellent heat bonding performance. Therefore, fabric woven by the fibers not only has outstanding elasticity and touches compact, butalso has the characteristics of being runproof, anti-laddering, not prone to curling selvedge and the like.