The 'Man of Steel' star said Jackson would call him several times before revealing his identity, the Sun reported.
"Michael Jackson used to tease me on the phone. He'd ring me and in a strong voice say, 'There is an emergency and you need to leave the building'. I'd ask, 'Who is this?' And he'd say, 'Do not worry Russell, just kidding, this is Michael'," Crowe said.
The actor, who plays Superman's father in the superhero movie, has impressed his children with the role.
"I told my two kids, 'I will be Superman's dad, so who are you?' And the oldest thought for a moment and said, 'I am Superman's brother'.