The couple became engaged earlier in the summer, but haven't talked about wedding plans publicly yet.
While the reports aren't confirmed, many onlookers saw Justin and Hailey make their way to the marriage license courthouse, and it looks like the couple can't wait any longer to tie the knot.
It was also reported that Justin thanked some of the court officials for keeping their appearance in the courthouse quiet.
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The couple tied the knot on Thursday in New York City, People was first to report. "I said to them [my parents], 'You'd stop me if you didn't think this was the right decision, right?"
"They went ahead and did it without listening to anyone", an unnamed source told the outlet. The two were photographed on September 13 entering a courthouse in New York City to apply for the legal paperwork that will allow them to become husband and wife according to TMZ.
In a recent interview with Australia's Stellar magazine, Baldwin admitted she was "beyond excited" about her wedding, but didn't share any details.