http://www.federalreserve.gov/generalinfo/faq/faqfrs.htm#5
"It is not 'owned' by anyone and is 'not a private, profit-making institution'. Instead, it is an independent entity within the government," however for our purposes this quote is probably more relevant, "the Federal Reserve must work within the framework of the overall objectives of economic and financial policy established by the government."
So, independent, but founded to enact government policy.