Yes, you can designate the 1099-INT Form as being owned by both of you even if only one person's name and SSN is shown on the form. This is common.
Note: All income, such as interest under $10 is taxable unless the law specifically excludes it. For additional information, click on Taxable and Nontaxable Income | Internal Revenue Service - IRS.gov.
To enter your 1099-INT form, see Where do I enter Form 1099-INT?
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