Although some mail-in ballots are still outstanding, only seven votes are required for a quorum, said Marsha Ferrin, who tallies votes for the BOT.
The vote follows unanimous approval of the plan Thursday by the BOT's Audit, Business and Finance Committee.
The plan, set to be ratified by the trustees May 23, compensates for the $566,650 of the $2 million DPS budget deficit that administrators originally hoped to raise through a night parking plan.
On March 28, the BOT sent back the administrators' original plan that would have charged more than $100 per semester for a night parking permit.
The revised proposal makes up the money by eliminating the new EU bus route, reworking the University's contract with Chapel Hill Transit and making internal cuts within DPS.
The remaining money, about $1.5 million, is made up by increasing prices for day parking permits and gating several campus lots to trim enforcement costs -- parts of the original proposal the BOT did not reject.
Trustee Richard Stevens, who supported the revised proposal during last week's committee meeting, said he was pleased administrators had come up with a plan most people can accept. "Everybody worked very hard to find a workable solution," Stevens said.
Student Body President Jen Daum, who said she did not vote in the ballot because she will not be installed until May, said she nonetheless supports the new recommendations. "I gave this my enthusiastic endorsement," she said.
The BOT's approval of the revised proposal puts an end to an eventful yearlong process to patch up DPS's budget deficit.