Evidence of ψ(3770) decays to a non-DD̄ final state is observed. A total of 11.8±4.8±1.3 ψ(3770)→J/ψπ+π- events are obtained from a data sample of 27.7 pb -1 taken at center-of-mass energies around 3.773 GeV using the BES-II detector at the BEPC. The branching fraction is determined to be BF(ψ(3770)→J/ψπ+π-)=(0. 34±0.14±0.09)%, corresponding to the partial width of Γ(ψ(3770)→J/ψπ+π-)=(80±33±23) ...