Universal Savings Account Act of 2024 This bill creates a new tax-exempt savings account to be known as a Universal Savings Account (USA). The bill allows eligible taxpayers to open an account and contribute up to $10,000 (adjusted for inflation) to an account each year. Contributions must be in cash and the allowable amount of contributions is subject to a phaseout based upon the taxpayer's modified adjusted gross income. Distributions from a USA are excludible from gross income, for income tax purposes, and may be transferred to a taxpayer's spouse or child upon the death of the taxpayer.