Correntropy　as　a　new　similarity　function　with　its　excellent　property　has　been　used　for　many　case.　It＇s　estimator　as　a　computing　tool　of　Correntropy　in　sense　of　mean　value,　this　character　has　some　defect　for　tracking　time-varying　parameters　in　some　special　case.　Thus　the　estimator　with　forgetting　factor　of　Correntropy　(Correntropy-FF)　is　researched　by　us　first　in　this　paper.　Correntropy-FF　is　as　an　estimator　of　Correntropy　in　sense　of　weight　average.　It　can　promise　some　important　factor　for　effect　of　estimate　results.　A　kind　of　recursive　learning　algorithm　is　deduced　based　on　the　Correntropy-FF　as　a　cost　function.　In　general,　the　current　result　is　impacted　by　nearing　it　in　the　time　varying　system,　so　kernel　function　in　Correntropy-FF　playing　this　role　as　Correntropy.　The　simulation　results　on　traffic　network　prediction　indicate　that　the　effective　performance　and　available　of　the　proposed　algorithm.