This　paper　investigates　the　bifurcation,　chaos,　and　active　control　of　a　mixed　Rayleigh-Li　&　eacute;nard　oscillator　with　mixed　time　delays.　First,　the　effects　of　system　parameters　on　the　supercritical　pitchfork　bifurcations　are　discussed　in　detail　by　applying　the　fast-slow　separation　method.　Second,　it　is　rigorously　proved　by　the　Melnikov　method　that　chaotic　vibration　exists　when　the　parameters　of　the　uncontrolled　system　are　selected　above　the　threshold　of　chaos　occurrence.　By　fine-tuning　the　system　parameters,　a　criterion　for　designing　the　control　parameters　to　make　the　Melnikov　function　non-zero　is　derived.　In　addition,　the　routes　to　chaos　in　controlled　system　are　explored　by　bifurcation　diagrams,　largest　Lyapunov　exponents,　phase　portraits,　Poincar　&　eacute;　maps,　basins　of　attraction,　frequency　spectra,　and　displacement　time　series.　The　results　indicate　that　by　properly　adjusting　the　displacement　feedback　coefficient　and　the　amplitude　of　parameter　excitation,　the　chaotic　motion　caused　by　increasing　of　the　amplitude　of　external　excitation　and　strength　of　distributed　time　delay　can　be　effectively　suppressed.　This　research　result　can　provide　theoretical　support　for　exploring　the　potential　chaotic　motion　of　other　types　of　oscillators.