We report a new measurement of the D∗ branching ratios, using data obtained with the Mark III detector at the e^+e^− storage ring SPEAR at s=4.14GeV. A fit to the recoil mass squared spectrum of D mesons reconstructed through the decay modes K^−π^+π^+ and K^−π^+ is used to extract the D^(∗+) → γD^+, π^0D^+, π^+D^0 and D^(∗0) → γD^0, π^0D^0 branching ratios