We measure the branching ratio of the purely leptonic decay of the D + meson with unprecedented precision as B(D + → µ + ν) = (3.82 ± 0.32 ± 0.09) × 10 −4 , using 818 pb −1 of data taken on the ψ(3770) resonance with the CLEO-c detector at the CESR collider. We use this determination to derive a value for the pseudoscalar decay constant f D + , combining with measurements of the D + lifetime and assuming |V cd | = |V us |. We find f D + = (205.8 ± 8.5 ± 2.5) MeV. The decay rate asymmetry.08 ± 0.08, consistent with no CP violation. We also set 90% confidence level upper limits on B(D + → τ + ν) < 1.2 × 10 −3 and B(D + → e + ν) < 8.8 × 10 −6 .