Ellen DeGeneres, who spoke at Tuesday's ceremony and who uses a Pink song for her daytime talk show, described the singer as "a badass rock star" and a person who has remained true to herself.
"Even though she is a huge international star, she is the most normal grounded person that you will ever meet," DeGeneres said.
Pink got her start in the music business as a member of the girl group Choice and her career took off after that.
She released her first solo album Can't Take Me Home in 2000, with the record certified double-platinum in the United States.
She received her first Grammy in 2002 for Lady Marmalade, which was the soundtrack for the film Moulin Rouge.
Her two other Grammys were for best female rock vocal performance for Trouble in 2004 and in 2011 she shared the award for best pop collaboration with vocals for the song Imagine.