Though the league cleared Leeds to start the season, their board also docked points as the club had not complied with the league's insolvency policy.
League chairman Brian Mawhinney told Sky Sports that a meeting of the second, third and fourth division clubs on Thursday had voted overwhelmingly in favour of the sanction.
"Overwhelmingly means...the vote was over 75% in support of the board, which means that Leeds United are starting the new season in League One as a valued member of the league's football family, but with a penalty of 15 points," he said.
"The matter is now over, done and concluded."