Nucleosome repositioning in cancer highlights changes of many aspects of genome organisation and regulation. Understanding it is important both from the fundamental point of view and for medical diagnostics based on cell-free DNA (cfDNA), which originates from genomic DNA regions protected from digestion by nucleosomes. Here we generated ultra-high resolution nucleosome maps in paired tumour and normal tissues from the same breast cancer patients using MNase-assisted histone H3 ChIP-seq and compared them with the corresponding cfDNA from blood plasma. We detected cancer-specific single-nucleosome repositioning at key regulatory regions in a patient-specific manner, as well as common patterns across patients. The nucleosomes gained in tumour versus normal tissue were particularly informative of cancer pathways, with 20-fold enrichment at CpG islands, a large fraction of which marked promoters of genes encoding DNA-binding proteins. Tumour tissues were characterised by 5-10 bp decrease in average distances between nucleosomes (nucleosome repeat length, NRL). These effects were modulated by GC content and DNA sequence repeats and correlated with differential DNA methylation and binding of linker histone variants H1.4 and H1X. Our findings provide missing mechanistic understanding of nucleosome positioning in tumour tissues and can be valuable for nucleosomics analyses in liquid biopsies.