Yes, interest income that is not specifically tax-exempt would be taxable on your return. This includes interest on checking and savings accounts.
If the interest amount is over $10, the bank is required to issue a Form 1099-INT. Even if you don't receive this form, you would still enter any interest income as if you had. Interest from a checking and/or savings account would be reported in Box 1.
You should report all interest received on your tax return.
