The cookies that are set on your browser from other domains than the one you are currently in. In other words third party cookies are set by cross origin/site/domain requests.

ie while the server hosting a web page sets first-party cookies, the page may contain images or other components stored on servers in other domains (for example, ad banners), which will set third-party cookies if clicked/accessed .

For example

Some browsers block third party cookies (ie third party cookies cannot be set). Chrome is planning to stop supporting third party cookies in 2022.