There is no limit on number of claims allowed during the year. The limit is on the overall Sum Assured or the insurance cover purchased with your health insurance policy. However, the coverage is reduced by the sum claimed by you with each claim. For e.g. if you have a health insurance policy with Rs. 5,00,000 as Sum Assured and you claim for expenses of Rs. 2,00,000, then the available cover for the remaining part of the year will be Rs. 3,00,000.