Johan Claës Woldemar Palme (31 May 1917 – 21 April 2006) was a Swedish lawyer who was specialized in maritime law.
He won the case, which attracted much attention because of his brother Olof Palme, who, concurrently served as Prime Minister of Sweden.
He was an active politician of the Moderate Party (his brother Olof Palme represented the Social Democrats) and was for a period chairman of the parish council in the Engelbrekt Church assembly in central Stockholm.
He took part in the demonstration against the employee funds that the October 4th Movement arranged on the day that employee funds would be dealt in the Swedish Riksdag.
Claës Palme was one of the initiators of the transfer of the family estate Skangal in Latvia to the Salvation Army.