The phrase "upon winning" is correct and usable in written English.
You can use it to refer to the action, event, or situation of winning something. For example: "Upon winning the race, the runner was overcome with emotion."
Upon winning the Italian Open Title (and donating his entire winnings to flood relief), Serbia's tennis racket-wielding folk hero, Novak Djokovic, tutted disapprovingly at rolling news networks for treating our sunken populace like a footnote.
Upon winning a championship in Green Bay, Coach Mike Holmgren wanted more power, and got it in Seattle.
Upon winning the right to host the Olympics seven years ago, China pledged to improve its human rights performance.
Upon winning, he announced his willingness to talk with them, breaking with a long-held policy against negotiating with them.
Upon winning the election, a nonincumbent president-elect appoints a transition team to effect a smooth transfer of power between the incoming and outgoing administrations.
Upon winning a bronze medal at the 2004 Athens Games, Gardner left his shoes in the center of the mat, a traditional symbol of retirement.
Upon winning the entertaining match, Williams dropped her racket and held up both fists in emphatic celebration, then looked forward to facing Clijsters, the popular Belgian.
Upon winning the award, thankfully nothing much has changed I'm still the same Youth Worker with still the same passion for helping/supporting young people.
Upon winning Best Pop Vocal Album, Smith said, "I just wanna say that before I made this record, I was doing everything to try to get my music heard...I tried to lose weight and I was making awful music.
Upon winning the tepid auction for $6.5 billion, McClatchy executives promptly announced plans to ditch a third of the papers they'd just bought.
Upon winning a coveted Mentored Research Scientist Development Award from the U.S. National Institutes of Health, Adams took a nontenure-track assistant professor position at Wake Forest University School of Medicine in Winston-Salem, North Carolina.
