According to the Youtube channel that published the video, the "intimate performance" was conducted back in September of last year as a part of her September Sessions.
This particular performance was in celebration of the pop singer's record-breaking attendance exhibit at the museum.
Swift's mega-hit "Blank Space" was included in the mix along with "Wildest Dreams," both singles coming from her latest album, 1989.
According to Entertainment Weekly "Blank Space" came about as a response to the press jabbing Swift with allegations of her being a serial dater.
In her introduction to the acoustic performance Swift, well known for writing songs about her personal life, explained why she was so inspired to make such a song.
"In the last couple years, the media have had a really wonderful fixation on kind of painting me as the psycho, serial dater girl," Swift says dryly. "It's been awesome — I loved it."
She went on to discuss how she was intrigued by the crazy "psycho" character the media portrayed her as, giving the audience a very animated description of the character's flamboyant lifestyle.
The song's music video currently has over 1 billion views on Youtube.