Methods of producing single-stranded deoxyribonucleic acids (ssDNAs) are provided. Aspects of the methods include generating a double stranded deoxyribonucleic acid (dsDNA) and then selectively degrading one strand of the dsDNA to produce a ssDNA. ssDNAs produced using methods of the invention find use in a variety of applications, including genomic modification applications. Also provided are compositions, e.g., kits, that find use in practicing various embodiments of the invention.