There is no record of any king in the Bible marrying his own daughter. The Bible explicitly condemns incest, and this act would have been considered a grave sin.
While some biblical stories involve complex family dynamics, such as the marriage of Abraham to his half-sister Sarah, these relationships are presented as occurring before the establishment of the Mosaic Law, which explicitly prohibited incest.
It's important to note that some ancient cultures practiced incest, and the Bible frequently mentions the practices of surrounding nations as examples of sin and moral corruption. However, the Bible itself does not endorse or portray any king marrying his own daughter.