I-R3 DNAzyme is a small, highly active catalytic DNA for DNA hydrolysis. In here, we designed two cis-structure DNAzymes (I-R3N and I-R3S) based on the different locates of the joint linker between I-R3 and its substrate. Data demonstrated that both DNAzymes were highly dependent on Zn2+, and worked at a narrow range around pH 7.0. They exhibited strong anti-interference with Mg2+ and Ca2+, but inhibited by Na+ and K+. Moreover, single and multiple-site mutations were generated within the catalytic core to carry out a comprehensive mutational study of I-R3 motif, in which most nucleotides were highly conserved and the nucleotides A5, T11 and T8 were identified as the mutational hotspots. Furthermore, an efficient variant A5G was obtained and its reaction condition was optimized. Finally, we constructed A5G to the 3' end of a single-stranded DNA (ssDNA) and applied it for asymmetrical PCR amplification to produce a single and double-stranded DNA mixture, in which A5G within ssDNA can self-cleave to generate a shorter desired ssDNA by denaturing gel separation. This would provide a new non-chemical modification approach for preparation of the expected ssDNA for in vitro selection of DNAzymes.