History Data export

Hi @BindiuRadu, Welcome to Community!
At the moment there is no built-in way to export history. However, depending on what you plan to do with history, there are some steps you could do to get that data.
For example - see this post (How to export Braves browsing history to another browser?) on how to export the browsing history to another browser

Go to my AppData Local Folder > BraveSoftware > Brave-Browser > User Data > Default and copy the two files called History and History-journal . Then I installed Chrome and went back to my AppData local folder > Google > Chrome > User Data > Profile 1 , and then I pasted in the two history files from Brave. So now all my Brave History was in chrome