Continuously　tunable　polymer　lasing　was　achieved　in　one-dimensional,　two-dimensional,　and　compound　chirped　cavities.　The　chirped　cavity　was　simply　fabricated　by　using　interference　lithography　and　spin　coating.　Two-dimensional　and　compound　chirped　cavities　were　obtained　by　employing　oblique　exposure　and　double　exposure,　respectively.　The　tunability　range　of　two-dimensional　chirped　cavities　was　much　wider　than　that　of　one-dimensional　chirped　cavities,　which　varied　from　557　nm　to　582　nm.　The　interaction　between　lasing　modes　was　studied　in　the　compound　cavity　by　introducing　an　additional　nanostructure　into　the　two-dimensional　chirped　cavities.　The　threshold　of　the　compound　chirped　cavities　changed　with　the　coupling　strength　between　lasing　modes.　These　results　may　be　helpful　for　designing　compact　polymer　laser　sources.　(C)　2020　Optical　Society　of　America　under　the　terms　of　the　OSA　Open　Access　Publishing　Agreement