The thermoplastic copolyester elastomers include copolyetheresters having the general formula: ##STR2## where G is selected from the group consisting of poly(oxyethylene)-alpha,omega-diol, poly(oxypropylene)-alpha,omega-diol, poly(oxytetramethylene)-alpha,omega-diol and a and b are positive integers including 2, 4 and 6, m and n are positive integers including 1-20.