The main purpose of this thesis is to study the existence, uniqueness and Ulam’s typestabilityofsolutionsofimpulsivedelaydynamicsystemsontimescale. First, westudytheexistence,uniquenessandUlam’stypestabilityofsolutionsofimpulsive delay differential equations and then we extended it to impulsive delay dynamic systems on time scale. More specifically, the integral impulses of fractional orderareutilizedforthestudyoffirstordernon–lineardelaydifferentialequations and then the results are extended to system of non–linear delay differential equations with instantaneous and fractional integrable impulses on time scale. Also, theresultsarethengeneralizedtonon–linearimpulsiveVolterraintegro–delaydynamicsystemandnon–linearimpulsiveHammersteinintegro–delaydynamicsystem on time scale. Furthermore, the mixed impulsive integro–dynamic system on time scale is also studied. The main tools for obtaining the existence, uniqueness and Ulam’s type stability results are Gr¨onwall’s inequality, abstract Gr¨onwall’s lemma, Banach contraction principle and Picard operator. For our results, some assumptions are made along with Lipschitz conditions. Some examples are also presented to support our results.