The 'Born This Way' star failed to collect any awards in the three categories she was nominated, losing out to Adele in each one.
However, the singer insisted that Adele should have won a seventh Grammy for being a "lovely" woman.
GaGa wrote on Twitter: "What a beautiful night last night was, Adele deserved every award she won and perhaps an extra one for being such a kind and lovely woman."
Meanwhile, Adele has described her live comeback performance at the ceremony as a "really peaceful" experience.
> Grammy Awards 2012: The major winners
Watch Adele win the 'Album Of The Year' trophy at the Grammy Awards below: