Let's look at a simple example.
Start by calculating your ordinary taxable income using IRS Form 1040. Then, on IRS Form 6251, add back some types of income and drop certain deductions.
Be sure to include income that might be tax-free under the normal income tax system but not under the AMT. One example is interest from private-activity municipal bonds, which fund private company projects that benefit the public (like airports).
Next, remove certain tax breaks, such as your deductions for state, local, and property taxes.
Then, subtract your AMT exemption (if eligible), which for the 2023 tax year is $81,300 for individuals, $63,250 for married couples filing separately, and $126,500 for married couples filing jointly or qualifying widow(er).
Finally, compute the AMT on what's left, compare that amount with what you would owe under the regular system, and pay the higher of the two.