× He told us a very funny history.
√ He told us a very funny story.
History refers to all the events that happened in the past, especially those related to the development of a place or institution: ‘That was a decision that changed the course of history.’ ‘I’m studying European History this semester.’
Story is a description of how something happened and it’s usually intended to entertain people: ‘The film was based on a true story.’ ‘His parents didn’t believe his story.’