Final answer:
A health policy that renews without an increase in premium is known as a renewable policy. This type differs from term policies, where premiums can increase, and from whole life policies which cover a lifetime but do not typically feature fixed premiums upon renewal.
Step-by-step explanation:
The health policy that always renews without an increase of premium is identified as a renewable policy. This type of policy typically guarantees the policyholder the ability to renew their coverage without an increase in the premium, regardless of any changes in health status. It stands in contrast to other types of policies which may not offer this feature or may increase the premium upon renewal, which can be common in term policies where premiums can increase at the end of each term based on age or other factors. A whole life policy is another type of insurance that offers coverage for the policyholder's entire lifetime, but premiums for these policies are not typically characterized by no increases upon renewal as they are with renewable policies.