To clear your browser history on a Mac, open your browser and click on the "History" menu. From there, select "Clear History and Website Data." A window will appear with a list of options for what you want to clear. You can choose to clear your history, your cookies, and other website data, or both. You can also specify a time range for the data you want to clear. For example, you can choose to clear data from the past hour, the past day, the past week, or all of history. Click "Clear History" to delete the selected data.