The club where Eddie Betts played the majority of his AFL career have condemned the "vile" racial abuse of his children and their friends caught on their long-time player's home security cameras.

The AFL world and footy public erupted on Friday morning after Betts shared the distressing footage to his social media overnight.

The driver of a slowly moving car can be heard yelling the n-word multiple times as the children play basketball in their yard.

A police investigation has been launched.

On Friday afternoon, Carlton - where Betts played his 218 of his 250 career games - stood in solidarity with one of their favourite sons.

It came after AFL chief executive Andrew Dillon and league head of social policy Tanya Hosch issued a joint statement calling for an end to racism in response to the video, and Victorian Premier Jacinta Allan labelling the "sickening and disgusting".

"The Carlton Football Club stands in solidarity with Eddie Betts," Carlton said in a statement.

The Blues stood by Betts and his family for their "brave" decision to share the "devastating, confronting" and "cowardly" incident" with acknowledgment for the impact such incidents can have.

"Absolutely nobody, especially children, should ever be subjected to what was heard in that video," Carlton said.

"Eddie's courage to once again not only call out such vile and disgusting behaviour, but also offer to educate the person responsible, is a testament to his qualities as a person and a leader of his community.

"It is the responsibility of all of us to follow Eddie's example, to ensure we do everything possible to stamp out racism, in all its forms."