US costs vary greatly...if you don't have insurance, you pay full price. If you do have insurance, it's highly likely that you will have to pay full price anyway. (I don't know how much the procedure costs, because there are several different methods, and I think the price varies depending on what type you get.)
There's this funny problem with many US insurance plans...they'll cover pregnancy costs and other things, but many don't cover birth control or tubal ligation. Typically, when a company decides to offer health insurance to its employees, they choose which options to make available to their employees. (So, for instance, if they want to cover the cost of brith control, then the plan will cost more to the company and the employees than a plan that does not cover birth control.) Many companies choose not to offer the birth control option - which is very sexist and problematic on so may levels. (In the long run, it's cheaper to pay for birth control than to pay for pregnancy, childbirth, and potential pregancy/childbirth complications, like having a premie who needs to stay in the hospital for a month.)
However, some companies are starting to offer birth control coverage, and some even cover the cost of tubal ligation. (These companies are usual very large or more progressive, like some universities - usually the same types of companies that consider providing same sex partner benefits.)
I think there are some laws and lawsuits under consideration that argue for more widely available birth control. For instance, one Catholic workers' group is suing their diocese for refusing to provide birth control coverage, on the basis that the decision to withhold birth control coverage was not due to financial considerations, but because of the anti-birth control stance of the Catholic Church. Since it is not a prerequisite for the job that you be Catholic, then it is unfair to the non-Catholics who work there (I think it's a social services agency) to have the religious tenets of the Catholic church used as a deciding factor as to whether birth control should be available.
Whatever the outcome, it is great that more companies are starting to provide birth control coverage and tubal ligation coverage.
I work for a huge university, and my cost for a tubal ligation is $100. SO I'm seriosuly considering taking advantage of that, because I doubt I would ever find such great coverage anywhere else (and I don't plan on working here for the rest of my life, so I should do it now.) Also, my birth control is covered the same way that other prescriptions are covered (with a co-pay). That's also great, since many times birth control is excluded from the list of covered prescriptions.
Does that help answer your question? Or did I totally muddy the waters?