Americans Saving Through Health Research Bonds Act of 2007 - Authorizes the Secretary of the Treasury to designate one or more series of savings bonds or savings certificates for each institute of the National Institutes of Health (NIH). Requires the Secretary to: (1) deduct and withhold 10% of the amount of any interest payable under such a Health Research Bond; and (2) pay any withheld amount to the relevant NIH institute to carry out institute research activities. Terminates the program ten years after the date of enactment of this Act.