Charles Ellicott Commentary 1 Chronicles 3:16

"And the sons of Jehoiakim: Jeconiah his son, Zedekiah his son." — 1 Chronicles 3:16 (ASV)

Jeconiah (Iah establish) = Jehoiachin (Iahweh establisheth) = Coniah (Jeremiah 22:24; Jeremiah 22:28—an abbreviation of Jeconiah), was carried captive to Babylon by Nebuchadnezzar (2 Kings 24:15). Zedekiah, his father’s brother, became king in his place.

Therefore, the supposition arose that “Zedekiah his son” means “Zedekiah his successor” on the throne (compare the margin).

But:

1. The phrase “his son” has its natural sense throughout the preceding list.
2. There really is nothing against the apparent statement of the text that Jeconiah the king had a son named Zedekiah, after his great-uncle.

As, like Johanan (1 Chronicles 3:15), he did not come to the throne, this younger Zedekiah is not mentioned elsewhere (see 1 Chronicles 3:17, Note).