The private aircraft, a Cessna 208B Grand Caravan registered as TI-BEI, was part of Nature Air's fleet, officials said.
Footage showed flaming wreckage strewn across wooden terrain - with a local newspaper reporting five passengers shared the same surname and may have been from the same family.
A plane has crashed in Costa Rica, killing at least 12 people.
Enio Cubillo, director of Costa Rica's civil aviation agency, told local media that the deceased included 10 foreign tourists and two Costa Rican pilots for the aircraft, which was operated by local company Nature Air.
Costa Rica's President expressed his condolences on Twitter.
The Public Safety Ministry posted photographs of the crash site showing burning wreckage of the plane in Guanacaste, northwest Costa Rica.
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The cause of the crash is yet to be established.
Solis said in his statement that his government "gives its commitment to do everything necessary to work with the relatives of the victims to give them what they need in this hard moment".
Dawn and Matthew Wolfe, who have been vacationing in Costa Rica for a month, said they and their three children were sitting in a restaurant near Punta Islita Airport when the plane took off.
The passengers had paid $2,300 for their flight, it said.
He identified the pilot as Juan Manuel Retana and described him as very experienced.