"Before the GP race this weekend, I want to share my support for those affected by the government's anti-LGBTQ law.
It is unacceptable, cowardly and misleading of the rulers to propose such a law.
Everyone deserves to be themselves, no matter who they love or how they identify themselves ", Hamilton writes on Instagram.
Hungarian Prime Minister Viktor Orbán has promised a referendum on the proposed law, which the Hungarian government claims is intended to protect minors.
"I urge the people of Hungary to vote to protect the rights of the LGBTQ community.
They need our support more than ever.
Please show love to everyone around you, because love will always win ", writes Hamilton.
The reigning world champion Hamilton is second in the World Cup series, eight points behind leader Max Verstappen, ahead of this weekend's race at the Hungaroring.