Over the past ten years, measurements of Internet behavior have been made for a range of applications: from research focused on understanding Internet behavior in the form of invariant characteristics to operational decision-making in Internet-based companies dependent on the real-time state of the network. However, making representative measurements of any type in a large , dynamic, heterogeneous environment such as the Internet is difficult. This paper outlines a number of problems facing researchers and companies who want to use Internet measurement data in their studies or operations. It also describes the architecture for a Global Internet Measurement Infrastructure (GIMI), which is significantly more comprehensive than current measurement platforms. GIMI is envisioned to provide an application programming interface enabling researchers to extract securely any type of Internet data from the infrastructure. Its design and deployment will insure that data collected from the infrastructure is inherently representative of a wide variety of Internet behavior. Significant hurdles, from determining where to place measurement systems to how to correlate results across network levels, must be overcome. We describe these difficulties and report on progress on basic aspects of the architecture made to date. Finally, we argue that an infrastructure such as GIMI is necessary for the next generation of characterizations and models of Internet behavior as well as being an enabling technology for a variety of real-time applications such as wide-area security and grid computing.