This thesis intends to show that the strong correlation observed between the brakingrnindices (n) and the slowing down age ( ) of pulsars with alignment and counterrnalignment. We will calculate the braking index of young pulsar which is crab pulsarrnis less than 3 by using the braking mechanisms, electromagnetic and gravitationalrnradiations,& the braking index for quadrupole radiation is equal to 5, and to showrnthe ratio between the gravitational and electromagnetic contributions to the pulsarrnspin down rate its present values are always less than one