Every board on the page, with the exception of the illegal "all queens" board, has a black king. The king is the one with the cross above the crown. In the first board, the 218 winner, it's at A1.
The first image, which I assume is the solution because the title is 'Reachable chess position with 218 moves for White, published by Petrović in 1964.', has no black king?
No, it's 100% on you. If the piece on a1 is a white king, then what's the piece on f1? And why would there be no black king, when the subject is reachable (and thus legal) positions?