Incorporating　visible　light　communication　(VLC)　with　existing　radio　frequency　(RF)　access　techniques　has　received　widespread　concern　to　enhance　network　coverage/capacity.　This　paper　focuses　on　the　joint　downlink　resource　allocation　(RA)　in　a　hybrid　VLC-RF　network.　The　problem　is　formulated　as　utility　maximization　by　jointly　adjusting　downlink　sub-channel　allocation.　A　Evolution　Computation　(EC)　based　centralized　algorithm　is　developed　to　solve　the　problem.　To　reduce　computation　complexity,　the　algorithm　is　decoupled　into　two　sub-steps.　First,　users　are　assigned　to　different　VLC　access　points　and　the　allocation　is　initialized　in　a　proportional　fair　(PF)　like　method.　Second,　EC　search　procedures　are　iteratively　operated　until　optimality.　Through　simulation,　the　algorithm　outperforms　classic　PF　and　Round　Robin　RA　methods　in　terms　of　throughput　and　user　fairness.　©　2020,　ICST　Institute　for　Computer　Sciences,　Social　Informatics　and　Telecommunications　Engineering.