Pinnick emerged winner in the second ballot with 32 votes, while Chief Taiwo Ogunjobi polled four votes. Dominic Iorfa had eight votes.
Voting went into second round after Pinnick failed to poll two-thirds of 44 in the first round. The Delta Sports Commission chairman had scored 25 votes in the first ballot.
Ogunjobi, in the first ballot, polled nine votes, Iorfa scored six votes, while Chief Amanze Uchegbulam garnered four votes. Alhaji Abba Yola and Chief Mike Umeh had no votes.
The seventh candidates Shehu Dikko was absent.