Some houses were destroyed, it said.
According Secretary of State for Communications Eddy Jackson Alexis, a preliminary report indicated that 11 people had died and 135 injured.
The quake was one of the strongest to hit Haiti since a 7.0-magnitude quake struck near the capital, Port-au-Prince, in 2010, killing thousands of people in the impoverished Caribbean country. Among the other structures damaged was the Saint-Michel church in Plaisance.
"I urge the population to keep calm, following the passage of the natural disaster whose epicenter is located in the northwest coast", he wrote in full on Twitter, according to a translation of his statement.
The tremor's epicentre was recorded 20 km from Port-de-Pai at a depth of 15.3 km at 8.11 p.m. on Saturday, reports Efe news, according to the US Geological Survey, reported IANS.
"I congratulate the citizens for their show of solidarity and support", Moise said in a Twitter message, vowing to ensure that the government was doing everything possible to help victims.
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Officials reported that people had been injured, but had not confirmed local media reports of deaths.
It's reported that seven people died in the coastal city of Port-de-Paix and three people died in the community of Gros-Morne in the province of Artibonite.
It was felt as far away as the capital, Port-au-Prince.
In a post on Twitter, President Jovenel Moise, who faced calls for his resignation over the summer due to fuel price hikes, urged people to remain calm after the civil protection agency reported the latest quake had caused outbreaks of panic in northern towns.
On January 12, 2010, Haiti suffered a devastating magnitude-7 quake which killed more than 300,000 people and destroyed much of the capital Port-au-Prince.
The devastating 7.0-magnitude quake in January 2010 left more than 1.5 people homeless.