"They
couldn't be happier to be engaged and excited to share the rest of
their lives together. Amber has really taken well to the kids and really
enjoys spending time with them," the People report said, citing an
unnamed source.
Representatives for Depp, 50, and Heard, 27, did not immediately confirm the report.
Depp,
a veteran whose diverse career includes "Edward Scissorhands," and the
recent "Pirates of the Caribbean" series, was previously in a 14-year
relationship with French singer and actress Vanessa Paradis.
They have two children and were not married, ending their relationship in 2012.
When
the couple separated, entertainment media speculated Depp may have had a
relationship with Heard, at the time a co-star in the film "The Rum
Diary."
Heard is known for the
film "Zombieland." She has spoken of her bisexuality and was recently
in a four-year relationship with photographer Tasya van Ree. They split
in 2012 around the same time as Depp and Paradis.
Depp was married in the 1980s to Lori Anne Allison. He also dated actress Winona Ryder and British supermodel Kate Moss.
Depp and Heard are starring in the upcoming film "London Fields."