The main objective of this study is to identify factors affecting demand functions for non-convention vessels in Iran. A secondary objective of the study is to examine other subsidiary factors such as: Gross Tonnage, Age, Value, and Premium and to determine relative importance of each factor in relation to others and finally to analyze demand function for non-convention vessels insurance. After surveying the database of Asia Insurance Co. appropriate vessels were selected and then modeling and analysis demand function for non-convention vessels insurance for this research was conducted in the form of panel data. According to the result of model, it can be concluded that: Declared value, vessels’ type and Gross Tonnage have significant positive effect on the amount of premium in Asia Insurance Co. but clause type, trading limit and type of vessels have no significant effect regarding non convention vessels. According to analysis, in relation to variables, it could be concluded: 1. Clauses, 2. Trading limit 3. Body type and Vessel Type.