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Although there is more and more evidence suggested the existence of an RNA World during the origin of life, the scenario concerning the origin of the RNA World remains blurry. Usually it is speculated that it originated from a prebiotic nucleotide pool, during which a self-replicating RNA synthesis ribozyme may have emerged as the first ribozyme - the RNA replicase. However, there is yet no ersuasive supposition for the mechanism for the self-favouring feature of the replicase, thus the speculation remains unconvincing. Here we suggest that intramolecular catalysis is a possible solution. Two RNA synthesis ribozymes may be integrated into one RNA molecule, as two functional domains which could catalyze the copy of each other. Thus the RNA molecule could self-replicate and be referred to as “intramolecular replicase” here. Computational simulation to get insight into the dynamic mechanism of emergence of the intramolecular replicase from a nucleotide pool is valuable and would be included in a following work of our group.