Using 3/fb of data taken at sqrt(s)= 7 and 8 TeV during Run 1 of the Large Hadron Collider, the LHCb experiment has made a large number of measurements of CP Violation in b hadron decays. In this seminar I will discuss how time dependent CP Violation measurements are made at ahadron collider, and present results for the decay Bs->J/psi phi and the penguin decay Bs-> phi phi. I will also show results for sin(2beta) from the decay Bd->J/psi Ks which have comparable precision to measurements at the B factories. Finally I will present a new result where the first evidence has been found for CP violation in the b baryon decay /b->p pi pi pi.