This work deals with the development of a new gamma detector based on Silicon Drift Detectors (SDDs) to read out large (2" up to 3") LaBr3:Ce scintillators for gamma-ray spectroscopy for astronomy applications, an activity supported by ESA. SDDs, characterized by high quantum efficiency and low electronic noise, are good candidates in such applications with a wide energy range of gamma rays to be detected from 150 keV to 15 MeV. The gamma-ray detection system here presented is composed of a 2"x2" LaBr3:Ce scintillator coupled with four SDD modules arranged in a 2x2 format (a total of 36 SDDs). An energy resolution of 3.5% FWHM at 662 keV has been achieved with this detection system being read out by custom developed electronics. In this wo...