Santa goes by many different names. In the USA he is Santa Claus, in the UK he is known as Father Christmas and in Germany he answers to the name of Weihnachtsmann. You can learn more about the history of Saint Nicholas and the traditions associated with old Père Noël in this Esri map of Santas Around the World.
It seems that there are two main versions of Santa's name. In many
countries Santa is named after Saint Nicholas, for example 'Santa Claus'
itself derives from the Dutch 'Sinterklaas', a dialectal pronunciation
of Saint Nicholas. In many other countries he goes by the name of Father
Christmas, for example he is 'Père Noël' in France, 'Pai Natal' in
Portugal and 'Papa Noel' in Spain.