Like Lady Gaga, her gift to Beyonce's new-born daughter Blue Ivy Carter is also unique - a one piece baby suit with the words "Little Monster" written on it.
Lady Gaga is known to her fans as "Little Monster".
The Sun reports that Lady Gaga has left a note along with the gift requesting Beyonce to make baby Blue Ivy wear that dress when she attends Gaga's concert for the first time.
Although new mum Beyonce has not commented about the gift, a source told the Sun that the diva might find the gift funny.
Lady Gaga and Beyonce have remained in touch since they worked together for "Telephone" feat.