In　this　paper,　we　investigate　the　nonlinear　stability　of　contact　waves　to　the　Cauchy　problem　of　the　compressible　Euler-Fourier　system　with　a　reacting　mixture　in　one　dimension　under　the　non-zero　mass　condition.　If　the　corresponding　Riemann　problem　for　the　compressible　Euler　system　admits　a　contact　discontinuity　solution,　it　is　shown　that　the　contact　wave　is　nonlinearly　stable,　while　the　strength　of　the　contact　discontinuity　and　the　initial　perturbation　are　suitably　small.　Especially,　we　obtain　the　decay　rate　of　contact　waves　by　using　anti-derivative　methods　and　elaborated　energy　estimates.