We perform a precision atom interferometry experiment to test the universality of free fall.Our experiment employs the Bragg atom interferometer with 87 Rb atoms either in hyperfine state |F =1,mF =0＞ or |F =2,mF =0),and the wave packets in these two states are diffracted by one pair of Bragg beams alteatively,which is helpful for suppressing common-mode systematic errors.We obtain an E(o)tv(o)s ratio η1-2 =(0.9 ± 2.7) × 10-10,and set a new record on the precision with improvement of nearly 5 times.This measurement also provides constraint on the difference of the diagonal terms of the mass-energy operator.