It looks like whatever you are using to display YouTube videos where the iframe for the YouTube video isn’t actually on the page when it initially loads (rather some sort of lightbox system that loads it after you click the link).
What lightbox system are you using? I’ll see if there might be a way to hook into that system to do it.
I´m using “WP Video Lightbox v1.7.5”
Unfortunately I don’t think it’s going to be possible. That plugin is generating the YouTube iframe embed code via JavaScript, and not actually using it until the user does something (clicks the link). So the actual YouTube iframe code isn’t being added to the page until after a user action (the clicking of a link). The way the analytics side of everything works, is it looks in the page for YouTube iframes and then actually alters their URL slightly to tell them to fire events based on the YouTube event API.
Without any changes to the Video Lightbox plugin, the only real way to do it would be so ugly that it really shouldn’t be done (would involve something like checking for any new youtube iframes that show up in the page source every few seconds over and over in a loop).
If the author of that plugin wanted to collaborate to come up with a way to do it via a jQuery trigger or something, it probably wouldn’t be too difficult for us to get them to “play nicely” together, but it would require them to make a few changes on their end too.