The weak lensing ( WL ) distortions of distant galaxy images are sensitive to neutrino masses by probing the suppression effect on clustering strengths of total matter in large-scale structure . We use the latest measurement of WL correlations , the CFHTLS data , to explore constraints on neutrino masses . We find that , while the WL data alone can not place a stringent limit on neutrino masses due to parameter degeneracies , the constraint can be significantly improved when combined with other cosmological probes , the WMAP 5-year ( WMAP5 ) data and the distance measurements of type-Ia supernovae ( SNe ) and baryon acoustic oscillations ( BAO ) . The upper bounds on the sum of neutrino masses are \sum m _ { \nu } = 1.1 , 0.76 and 0.54 eV ( 95 % CL ) for WL+WMAP5 , WMAP5+SNe+BAO , and WL+WMAP5+SNe+BAO , respectively , assuming a flat \Lambda CDM model with finite-mass neutrinos . In deriving these constraints , our analysis includes the non-Gaussian covariances of the WL correlation functions to properly take into account significant correlations between different angles .