Author made critical review of researches and found out the existance of the problem of determination and differentiation in a scientific literature the concepts “financial regulation of the insurance market”, “government financial regulation of the here insurance market” and “government regulation of the insurance market”.It is offered the consideration of the insurance market from positions of analysis of the complex Everything Else systems as being the component part of the greater system.It is disclosured the economic nature and determined the mentioned notions.