The invention refers to a novel method of preparing strand-specific RNA-sequencing libraries that can be used to identify DNA coding and non-coding strands that are transcribed to RNA. Such strand-specific RNA-sequencing libraries are especially useful in discovering anti-sense RNA and non-coding RNA. Random primer oligonucleotides, covalently coupled to a moiety, which blocks ligation, are used for RT reaction or the subsequent generation of the second DNA strand so that only one strand of the generated double-stranded DNA is ligated to sequencing adapters at the 5′ nucleotide and sequenced by paired-end sequencing.