Blunt, 32, is currently filming The Girl on the Train, which was adapted from Paula Hawkins' bestselling novel of the same name. She was photographed wearing an oversized coat on set in NYC on January 20.
Krasinski, meanwhile, has been busy promoting his new movie, The Hollars, at the Sundance Film Festival in Park City, Utah. (The couple both attended the Dallas, Texas, premiere of 13 Hours on January 12.)
Blunt and the Office alum tied the knot in Italy in 2010 after two years of dating, and welcomed daughter Hazel, now 23 months, in February 2014.
Earlier this month, Krasinski, 36, gushed over his daughter during an appearance on The Ellen DeGeneres Show.
"She is talking. She is talking a lot. She is starting to do little bits. It's hilarious," he said at the time. "[Instead of saying] 'Where's Daddy?' she asks, 'Where is that Daddy?'"
The Aloha star also mused that Hazel sometimes has a British accent like her famous mum. "She says, 'Wuter,'" he said, laughing. "Just wait till she gets to kindergarten when people go, 'What's that accent?' And she'll go, 'Water! Water!'"
During Sundance, Krasinski told Us that he started filming The Hollars shortly after Hazel arrived. "I had my daughter [and there was this] existential crack that happens to everybody in a different way — it’s a mirror that you hold up to yourself and who you are and who you want to be. I think those are amazing, challenging moments. That you all of a sudden relate to your parents more, you relate to my brothers more, you relate to your friends more," he said.
"So I arrived on set with a whole new understanding of life in a way," he continued. "I was so excited to explore and I was also probably very emotionally open and raw."
For access to all our exclusive celebrity videos and interviews – Subscribe on Youtube!