'Reigning' in the Bible

And these are the kings who reigned in the land of Edom before the reigning of a king of the sons of Israel: Bela son of Beor, and the name of his city is Dinhabah.

and in Beth-Marcaboth, and in Hazar-Susim, and in Beth-Birei, and in Shaarim; these are their cities till the reigning of David.