The funeral ceremony on Friday lasted a total of seven hours, according to the official program.
Several screens have been set up around Cap-Haïtien so that mourners can follow the event.
The coffin was finally taken to a grave on land where Moïse grew up, just a few meters from the mausoleum where his father, who died last year, lies.
The president's widow Martine Moïse is attending the ceremony with, among others, the president's relatives, current and former government officials, as well as religious leaders and union representatives.
Foreign dignitaries, among them the new US envoy Daniel Foote, who was given the task of helping the country stabilize, were present during the ceremony together with the UN's special Haiti envoy Helen La Lime.
Information about demonstrations
According to the news agency AFP, it was calm in Cap-Haïtien on Friday morning, compared to earlier this week when extensive protests broke out in the city.
According to the news agency AP and the American radio network VOA, hundreds of protesters took to the streets of Cap-Haiti, where they blocked roads, fired shots and threatened to destroy the upcoming funeral.
Protesters demand a fair investigation into the assassination of the president.
Due to the unrest, the security arrangements have been extensive at today's funeral ceremony.
During the ceremony, shots were heard being fired nearby, where demonstrations were taking place and guests are said to have sought protection, reports the news agency Reuters.
Guests hid
According to Reuters, several guests, including the US envoy, hid in their cars when the chaos broke out.
No one is said to have been injured and the ceremony continued, with the help of high-volume chamber music that drowned out the protesters' cries.
"We urge everyone to express themselves peacefully and refrain from violence," said Thomas-Greenfield, whose U.S. delegation is said to have been forced to leave the funeral earlier than expected due to the uprising.