No, there is no maximum income limit for a traditional IRA. Anyone can contribute to a traditional IRA, and even use it to IRA buy physical Gold. 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. Remember that you are also not subject to income limits when you make contributions to a SIMPLE IRA or an SEP IRA; options that are only available if your employer offers them, if you are a small business owner, or if you are self-employed and can open one on your own. However, you can still contribute to a Roth IRA and make cumulative contributions to a Roth or traditional IRA, regardless of your age.
This so-called spousal IRA is just like any other Roth IRA, except that it's your spouse's income that determines whether you qualify for a Roth IRA based on maximum income limits. Traditional IRAs don't have this rule, as do other types of IRAs, such as SEP IRAs and SIMPLE IRAs, which are often used by self-employed individuals and small business owners. You may still want to make a non-deductible contribution, either because you prefer to allow your investments to grow tax-free and defer income taxes or because you want to make a clandestine contribution to the Roth IRA by contributing to your traditional IRA and then converting it into a Roth account. The ability to make non-deductible contributions regardless of income level makes traditional IRAs a valuable retirement savings account that can be converted into a clandestine Roth IRA.