We present a measurement of the mass of the $W$ boson using data collected with the Collider Detector at Fermilab during the 1992–93 collider run at the Fermilab Tevatron. A fit to the transverse mass spectrum of a sample of 3268 $W\to \mu \nu$ events recorded in an integrated luminosity of $19.7{\mathrm{pb}}^{-1\mathrm{}}$ gives a mass $M_W^{\mu }=80.310\mathrm{}\pm 0.205\left(\mathrm{stat}\right)\pm 0.130\left(\mathrm{syst}\right)\mathrm{GeV}{/c}^2$. A fit to 5718 $W\to e\nu$ events recorded in 18.2 p${\mathrm{b}}^{–1}$ gives $M_W^e=80.490\mathrm{}\pm 0.145\left(\mathrm{stat}\right)\pm 0.175\left(\mathrm{syst}\right)\mathrm{GeV}{/c}^2$. Combining these results, accounting for correlated uncertainties, yields $M_W=80.410\mathrm{}\pm 0.180\mathrm{GeV}{/c}^2$.

• Received 7 March 1995

DOI:https://doi.org/10.1103/PhysRevLett.75.11