Today, many nucleic acid enzymes are used in gene therapy and gene regulations. However, no simple assay methods to evaluate enzymatic activities, with which we judge the enzyme design, have been reported. Here, we propose a new simple competition assay for nucleic acid enzymes of different types to evaluate the cleaving efficiency of a target RNA molecule, of which the recognition sites are different but overlapped. Two nucleic acid enzymes were added to one tube to make a competition of these two enzymes for one substrate. The assay was used on two ribozymes, hammerhead ribozyme and hairpin ribozyme, and a DNA-enzyme. We found that this assay method is capable of application to those enzymes, as a powerful tool for the selection and designing of RNA-cleaving enzymes.