We report a study of the hadronic branching fractions of the Ds+ meson, which is used to extract an upper limit on the absolute branching fraction for Ds+→φπ+. A search is made for fully reconstructed events from the reaction e+e−→Ds*±Ds∓, Ds*±→γDs±, using seven exclusive Ds+ decay modes. The data sample of 6.30±0.46 ppb−1 was collected at √s¯=4.14 GeV with the Mark III detector at the SLAC e+e− storage ring SPEAR. No candidate events are observed. The measured relative Ds+ branching fractions and σB(Ds+→φπ+) are used to establish the limit B(Ds+→φπ+)<4.1% at 90% confidence level.Received 4 August 1989DOI:https://doi.org/10.1103/PhysRevLett.64.169©1990 American Physical Society