Inthispaper,aclassofparameter-freefilledfunctionsisproposedforsolvingbox-constrainedsystemofnonlinearequations.Firstly,theoriginalproblemisconvertedintoanequivalentglobaloptimizationproblem.Subsequently,aclassofparameter-freefilledfunctionsisproposedforsolvingtheproblem.Somepropertiesofthenewclassoffilledfunctionsarestudiedanddiscussed.Finally,analgorithmwhichneithercomputesnorexplicitlyapproximatesgradientsduringminimizingthefilledfunctionsispresented.Theglobalconvergenceofthealgorithmisalsoestablished.Theimplementationofthealgorithmonseveraltestproblemsisreportedwithsatisfactorynumericalresults.