This　paper　proposed　a　new　Multi-parent　Recombination　Genetic　Algorithm,　which　introduced　a　new　Fitness-Weighted　Crossover　(FWX)　and　adopted　a　random　threshold　based　mechanism　to　determine　the　parent-number　of　multi-parent　recombination.　FWX　is　the　generalization　of　Single-point　Crossover,　Two-point　Crossover,　Multi-point　Crossover,　Uniform　Crossover,　Arithmetic　Crossover　and　Multi-parent　Occurrence　Based　Scanning　Crossover.　It　endues　the　fitter　parent　a　bigger　influencing　factor,　which　is　used　to　determine　the　contribution　of　parents　to　their　offspring.　The　new　GA　approach　guarantees　the　validity　of　offspring　by　the　fact　that　FWX　is　a　convex　combination　of　parents.　Experiment　on　a　suit　of　benchmark　functions　validated　the　advantages　of　our　approach.