If your husband is covered under your HDHP, then you have a family plan HSA. The HSA is owned individually by you, but because you have a family plan, you can pay for medical expenses for the both of you.
On the page, Were you enrolled in a High Deductible Health Plan (HDHP) in 2019? Answer yes, if you were the account owner, then select Me and my family if your husband is covered by your HDHP.
Enter Form 1099-SA in TurboTax. The form will list the total distributions from the account. It doesn't matter who the expenses where for under a family plan.
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An HSA is like an IRA. It is only ever owned by one person, although you might have two-person or family insurance that qualifies you to contribute to the account.
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