The 18-year-old Briton defeated Canada’s Leylah Fernandez 6-4 6-3. She is the first British woman to win a Grand Slam singles title for 44 years and received a message of congratulations from the Queen.
Ms Sturgeon, the Scottish First Minister, tweeted about the clash.
The SNP leader posted: “I suspect tonight is one of those sporting occasions that will be talked about for decades to come.
“Two great players who will no doubt dominate women’s tennis for years to come. But what a winner in Emma Raducanu.”
She later added: “Postscript to that final: after the sheer emotion involved in supporting Andy Murray over the years, I can’t be the only one who didn’t expect to feel quite so invested in tennis ever again – Emma Raducanu has changed that.”
However Ms Sturgeon’s comments sparked some controversy from other social media users, who suggested the First Minister could be trying to politicise the occasion.
One replied: “Jeez woman; let the girl win without bringing Scotland/UK/British into it.”
Another added: “Yeah but can’t twist it to make it about independence or you, can you?”
Other Twitter users suggested the game illustrated the emotional connection which exists across the United Kingdom.
READ MORE: SNP veteran rages at ‘incompetent’ Sturgeon for overselling ‘independence fairytale’
However, others responded more positively to Ms Sturgeon’s tweets, saying they shared her sentiments.
One tweeted: “Totally agree, I was all in 100 percent, shouting and cheering at the telly.
“Loved Emma’s passion and drive, such a great winner and she’ll have many new fans after this week.”
Another wrote: “One of the best tennis matches I’ve ever seen.
“I think it all came to the breaks. So talented. So evenly matched.
“The most exciting game to watch.”
Following Ms Raducanu’s victory she received a message of congratulation from the Queen.
It read: “I send my congratulations to you on your success in winning the United States Open Tennis Championships.
“It is a remarkable achievement at such a young age, and is testament to your hard work and dedication.
“I have no doubt your outstanding performance, and that of your opponent Leylah Fernandez, will inspire the next generation of tennis players.
“I send my warmest good wishes to you and your many supporters.”