Yes. Your savings are federally insured to at least $250,000 and backed by the full faith and credit of the United States Government - NCUA, a U.S. Government Agency.
There are exceptions. You obtain additional insurance coverage on multiple accounts, but only if you have different ownership interest or rights in different types of accounts and you properly complete account forms and applications. For example, if you have a regular share account and an Individual Retirement Account at the same credit union, each account is insured up to at least $250,000.00.
However, if you have a regular share account, share certificate account, and share draft account, all in your own name, you will not have additional insurance coverage. Those accounts will be added together and insured up to $250,000.00 as your individual account.