Oswalt, 48, and Salenger, 47, made their red-carpet debut as a couple at the "Baby Driver" premiere in LA last month, according to The Hollywood Reporter.
Salenger took to Twitter to share the happy news.
"It's official. I'm the luckiest happiest girl in the universe!!! I love you @pattonoswalt I love you Alice Oswalt," she wrote.
Their engagement comes 15 months after Oswalt's wife, Michelle McNamara, died unexpectedly in her sleep in April last year.
Oswalt has an 8-year-old daughter, Alice, with McNamara.
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