Background:　Recently,　nonlinear　time-delayed　evolution　equations　have　received　considerable　interest　due　to　their　numerous　applications　in　the　areas　of　physics,　biology,　chemistry　and　so　on.　Methods:　In　this　paper,　we　obtain　traveling　wave　solutions　by　using　the　extended　(G＇/G)-expansion　method.　Results:　Based　on　the　method,　we　get　many　solutions　of　the　time-delayed　generalized　Burgers-type　equations.　Conclusions:　The　results　reveal　that　the　extended　(G＇/G)-expansion　method　is　direct,　effective　and　can　be　used　for　many　other　nonlinear　time-delayed　evolution　equations.