In this thesis, the build-up and decay of radioactivity in two stable isotopes of Bromine causedrnby reaction with slow neutrons will be studied. In particular, we will be able to measure thernradioisotope capture cross section of these samples, using HPGe-detector and beta-counter on therndecay of radioactivity data taken. For the decay of Br-82 the ground state thermal neutron crossrnsection 0.2565±0.023barn by using High purified Germanium detector and for Br-80 decay thernground state thermal neutron cross section 8.653±0.78barn by using beta counter were observedrnfrom this work and the total thermal neutron cross section for the two isotopes obtained from thernmeasurement were compared with the calculated theoretical values