The parking is close to the museum. The rate varies based on how long you park and if you are a member of the museum. There is a kiosk where you can self pay via credit card when you walk into the garage. There also is valet parking at the museum entrance. See https://www.mfa.org/visit/getting-here/parking for full information. I think dodi's answer is for the rates for the museum and not the parking garage.
Okay this museum of fine art two kinds of payments for the members the entrance is it's free for non members you have to pay $25 and under age of two pay free ,and the best thing they have valet service.if you have a membership card you have to pay $19 non 29
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