2024 Hsa Deductible Minimum Salary. The 2024 minimum deductible for family coverage increases by $200 to $3,200.  — those with family coverage under an hdhp will be permitted to contribute up to $8,300 to their hsas in 2024, an increase from 2023’s $7,750 maximum.

 — those with family coverage under an hdhp will be permitted to contribute up to $8,300 to their hsas in 2024, an increase from 2023’s $7,750 maximum. The hsa contribution limit for family coverage is $8,300.