Dark matter (DM) is a fundamental component of the standard cosmological paradigm known as ΛCDM and is believed to be the dominant form of matter in the Universe. Although the existence of DM is supported by a variety of observational evidence, the particle constituent of DM remains unknown. Weakly Interacting Massive Particles (WIMPs) are a generic DM particle candidate that satisfy the observed properties of DM and are independently motivated by extensions to the Standard Model (SM) of particle physics. The self-annihilation or decay of WIMPs is generically expected to produce showers of stable secondary particles including gamma-rays with energies up to the rest mass of the WIMP. This thesis reports the observation of ten sources conducted with the Very Energetic Radiation Imaging Telescope Array System (VERITAS) to search for the gamma-ray signature of WIMPs. Upper limits on the gamma-ray flux from these sources are reported and used to infer constraints on the particle physics properties of the WIMP.
