Estimating genomic similarities among animals belonging to different generations is one of the fundamental challenges for animal breeders. However no empirical measure of his relatedness throughout the whole genome of cattle has yet been published. By utilising the Single Nucleotide Polymorphism information we, in this thesis, describe a genome wide and chromosome wide probability of sharing one of the alleles to be identical by descent (IBD) between grandparents and grandsons. Genotypic information was collected from 1764 breeding bulls belonging to the Simmental breed using 50K chip from Illumina. The genome wide probability for one allele to be IBD did not differ significantly from the expectation and the correlation with the breeding values for different traits did not manifest a particular trend. The results from the analysis performed to estimate the length, number and size of homozygous chromosomal segments in inbred and non inbred bulls shows a very strong inclination that these parameters are strongly influenced by inbreeding. Finally in this study, in order to estimate the correlation between pedigree relationship and genomic relationship, we compared the pair wise coefficient of coancestry calculated using pedigree relationship to the genomic parameters like IBD of 0, 1 and 2 allele, total proportion IBD and the number of non missing loci which are in identity by state for either 0, 1 or 2 allele. A medium level of correlation was observed for some of the genomic traits to the pedigree relationship.