The cost of moving from New York to Hawaii can be quite high due to the distance and the logistics of shipping your belongings to the islands. On average, the cost of a long-distance move from New York to Hawaii can range from $6,000 to $15,000 or more. The cost will depend on factors such as the weight and volume of your belongings, the distance of your move, and the type of shipping (such as air or sea freight). It is recommended to get multiple quotes from professional moving companies and compare the costs and services offered to find the best option for you. Keep in mind that the cost may be higher during the peak moving season which is typically between May and September.