The pair held hands as they made their way to their ride after enjoying a night out.
Earlier that night, Alwyn walked the BAFTAs red carpet alone, which is customary for the couple.
FYI: Taylor is wearing Stella McCartney.
Swift later posted to Instagram a photo of her posing in her gown, along with a message about how thrilled she was for The Favourite's big wins.
Johnson triggers wreck, then wins Clash at Daytona
The 43-year-old NASCAR veteran, who went winless last year for the first time in his career, picked up the victory on Sunday. With more rain looming, Johnson dipped low and tried to side-draft Menard as they battled for the lead.
Swift, one of the biggest selling artists in the world, has written numerous songs about her relationships, with many speculating that several from latest album Reputation were about Alwyn. The actor's film, The Favourite, took home a total of seven awards, including Outstanding British Film, Best Original Screenplay and Best Costume Design.
If you weren't paying attention, you may have missed the news that Taylor Swift skipped the Grammy Awards, opting to make a surprise, incredibly low-key appearance at the 2019 British Academy Film Awards instead. "Bout to go give some high fives - thanks @stellamccartney for this dressss".
We interrupt the #GRAMMYs to show you this picture of Taylor Swift and Joe Alwyn.
The last time Swift attended the Grammys was in 2016 when she picked up album of the year and best pop vocal album for 1989 and music video of the year for "Bad Blood".
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