PORT-AU-PRINCE, Haiti — Haiti held a final round of legislative contests as well as long-overdue municipal votes on Sunday, closing a repeatedly derailed election cycle that started in 2015.

President-elect Jovenel Moise’s political faction and its allies were hoping to increase their majority in Parliament with eight Senate runoffs. Voters were also choosing 5,500 district authorities in local elections.

Alix Pierre, a Port-au-Prince lawyer and one of hundreds of voters gathered at a polling station in the Canape Vert section of Haiti’s capital, said he was relieved the 2015 electoral cycle was finally concluding.

‘‘It took such a long time to get here,’’ he said after casting his vote.

Turnout elsewhere appeared to be paltry, with numerous voting centers in Port-au-Prince serving only a trickle of voters.

Across the country, balloting appeared to be mostly calm and orderly. Some 12,000 police officers were deployed — essentially the entire Haitian National Police Force — to maintain order.

There were a handful of disturbances reported by mid-afternoon, including one in the central town of Mirebalais, where somebody threw tear gas outside of a polling station, sending voters into a panic.

Moise’s oath-of-office ceremony is slated for Feb. 7.

Moise, a 48-year-old banana exporter, received about 55 percent of the vote, significantly more than his closest rival.