Blue Ivy Carter is one baby who is always on the run!

The adorable spawn of Jay Z and Beyonce recently took a trip to the Eiffel Tower and accompanied her superstar parents as they went house hunting near the élysée Palace.

On Oct. 2, Beyonce shared photos on her Tumblr page of baby Blue during their trip to the famous France monument. In one pic, mom and daughter are gazing at the amazing structure from behind a glass wall. In another snapshot, the 2-year-old can be seen running while the tower is seen in the background. Queen Bey also shared a photo of herself posing in front of the Eiffel Tower, wearing a one-piece lose-fitting jean jumpsuit and a hat.

While it appears like the Carters are having a wonderful time on their trip to Paris, there is also speculation that they may be considering a more permanent stay in "The City of Love." According to Daily Mail, the trio were spotted house hunting at an estate in the same neighborhood as the President of the French Republic's mansion.

Jay Z can be seen carrying little Blue down a set of stairs as they head into an awaiting vehicle in a picture. The proud papa was wearing a white dress shirt with light blue jeans, and Blue was wearing a pink dress. Queen Bey, who was right behind her husband and daughter, was wearing a bright printed shirt with the word "GRRL" across her chest, matched with a long neon green skirt and a multi-colored cap.

Last week, the 33-year-old superstar shared new family photos on her Tumblr page, including an adorable pic of Bey giving baby Blue a kiss.

In another pic, the Carter family appears to be checking out artwork, while the "Single Ladies" singer is holding Blue, wearing a printed leopard green dress. The photo, which was posted on Wednesday, includes the caption "my life picasso travel."

Queen Bey also posted a colorful and artistic picture of Jay Z carrying Blue on his neck.