I don't think it's ever been mentioned. I would expect Rafiki to keep a record of some sort دکھانا the royal timeline, so maybe he knows!
In the movies, nothing is known before Mufasa and Scar's generation, but it is noted that Mufasa is definitely not the first king of the pride (e.g. "the great kings of the past" - suggesting there have been many before him).
Also, in the کتابیں Mufasa and Scar had a generation before them; Ahadi and Uru. There was even an older generation with a king called Mohatu. This information's not been confirmed سے طرف کی the movie creators though, but it's interesting anyhow.
We do know that the latest generation is Kiara and Kovu, for now at least. In one of the SP books, it words the ending something like "the دائرے, حلقہ of life was complete once again", suggesting that they would soon be starting a family of their own. Even if آپ only go سے طرف کی the films, I think people still tend to presume that Kiara and Kovu will most likely be parents themselves someday!
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I'd say they'd have to if the royal bloodline is to continue at Pride Lands. I think Simba and Nala were getting quite old to have any new cubs at the point when Kovu and Kiara married, although it would be interesting Kiara got a little sister یا brother at that point. :P