During the execution of software projects, it is necessary to collect, store and analyze data to support project and organizational decisions. Software measurement is a fundamental practice for project management and process improvement. It is present in the main models and standards that address software process improvement, such as ISO/IEC 12207, CMMI and MR MPS.BR. In order to effectively perform software measurement, it is necessary an infrastructure to support data collection, storage and analysis. This infrastructure can be defined by means of an architecture, which describes the components necessary to support software measurement. In this paper we present the main results obtained from a systematic mapping study that investigated software measurement architectures and an approach proposed aiming to help organizations define software measurement architectures.