No, there is no maximum income limit for a traditional IRA. Anyone can contribute to a traditional IRA. While a Roth IRA has a strict income limit and people with incomes above it can't contribute at all, that rule doesn't apply to a traditional IRA. However, this doesn't mean that your income doesn't matter at all.
If you don't qualify to make a deductible contribution, you can still invest money in a traditional IRA. With a Roth IRA, if you make too much money, the option to contribute to an account is ruled out. However, there is the option of a clandestine Roth IRA, which we have a full article about. The traditional IRA keeps the window open for a bit and allows you to make contributions, but not a deduction.
As a consolation prize for refusing the initial tax relief, the IRS delays taxes on investment growth until those gains are withdrawn when you retire. Meanwhile, after-tax contributions you make are tax-exempt for retirement. No matter what the reason, contributing beyond the IRS limit could result in a tax penalty if you don't take steps to manage the franchise. While the traditional IRA shares many features with its newer sister, the Roth IRA offers tax incentives to save for retirement and, under certain circumstances, each of them is governed by a different set of rules.
A clandestine Roth IRA is not a type of retirement account, but rather a strategy for converting funds from a traditional IRA or 401 (k) into a Roth IRA. You save the most if you don't have pre-existing traditional IRA balances that need to be included in your tax bill or if your employer's qualified plan allows the renewal of deductible IRA balances. With a clandestine Roth IRA, a person makes a non-deductible contribution to a traditional IRA and then converts that account into a Roth IRA. Initial tax relief is one of the main things that differentiate the rules of traditional IRAs from Roth IRAs, in which taxes are not allowed to be deducted for contributions.
Under the prorated rule, IRA account conversions are taxed in proportion to the amount of taxable contributions from all of your IRA balances.