We report measurements of the properties of the D+sJ(2317) and D+sJ(2457) resonances produced in continuum e+e− annihilation near s√=10.6 GeV. The analysis is based on an 86.9 fb−1 data sample collected with the Belle detector at KEKB. We determine the masses to be M(D+sJ(2317))=2317.2±0.5(stat)±0.9(syst) MeV/c2 and M(D+sJ(2457))=2456.5±1.3(stat)±1.3(syst) MeV/c2. We observe the radiative decay mode D+sJ(2457)→D+sγ and the dipion decay mode D+sJ(2457)→D+sπ+π− and determine their branching fractions. No corresponding decays are observed for the DsJ(2317) state. These results are consistent with the spin-parity assignments of 0+ for the DsJ(2317) and 1+ for the DsJ(2457).