Simultaneous　distributed　feedback　(DFB)　lasing　and　linear　polarized　random　lasing　are　observed　in　a　compound　cavity,　which　consists　of　a　grating　cavity　and　a　random　cavity.　The　grating　cavity　is　fabricated　by　interference　lithography.　A　light-emitting　polymer　dopedwith　silver　nanoparticles　is　spin-coated　on　the　grating,　forming　a　random　cavity.　DFB　lasing　and　random　lasing　occur　when　the　periodic-random　compound　cavity　is　optically　pumped.　The　directionality　and　polarization　of　the　random　laser　are　modified　by　the　grating　structure.　These　results　can　potentially　be　used　to　design　integrated　laser　sources.