Understanding the space-time structure of rainfall is one of the most complex problems faced in geophysics and atmospheric sciences. Rainfall has been studied in a similar fashion than turbulence phenomena and many of its mathematical tools have been applied to the description of rainfall patterns. Some of the tools used in turbulence phenomena and rainfall were born in the theory of fractal geometry. Such a theory has turned out to be the most suitable scientific toolbox for explaining complexity, nonlinear processes, and multiscaling dynamics. The aim of this chapter is to illustrate some of these ideas related to the statistical characterization of the space-time structure of rainfall, including the proposals for modeling rainfall fields and some achievements in the construction of a holistic multiscaling theory for rainfall field description.