Is the insurance company a legal person or an unincorporated organization

It is a company organization. An insurance company is an enterprise legal person established according to law and has an independent legal status. A legal person refers to an organization that has civil rights and capacity for civil conduct, enjoys civil rights and undertakes civil obligations independently according to law. Insurance companies are registered with the approval of relevant state departments, and have independent legal person property and legal representative, which conforms to the definition of legal person.