The 26-year-old "Room" star was seen rocking a diamond ring on her finger when making debut as a host on "Saturday Night Live" during the weekend, reported US magazine.
A source said that 36-year-old Greenwald, the Phantom Planet frontman, proposed to her during a trip to Tokyo in March.
Larson first publicly confirmed her relationship with Greenwald at the Gotham Independent Film Awards in 2013.
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