Clustered regularly interspaced short palindromic repeat (CRISPR)/CRISPR-associated protein 9 (Cas9)-assisted gene targeting is a promising method used in molecular breeding. We recently reported the successful introduction of this method in the monokaryotic Pleurotus ostreatus (oyster mushroom), PC9. However, considering their application in mushroom breeding, dikaryotic strains (with targeted gene mutations in both nuclei) need to be generated. This is laborious and time-consuming because a classical crossing technique is used. Herein, we report a technique that targets both nuclei of dikaryotic P. ostreatus, PC9×#64 in a transformation experiment using plasmid-based CRISPR/Cas9, with the aim of developing a method for efficient and rapid molecular breeding. As an example, we targeted strains with low basidiospore production ability through the meiosis-related genes mer3 or msh4. Four different plasmids containing expression cassettes for Cas9 and two different gRNAs targeting mer3 or msh4 were constructed and separately introduced into PC9×#64. Eight of the 38 dikaryotic transformants analyzed produced no basidiospores. Genomic PCR suggested that msh4 or mer3 mutations were introduced into both nuclei of seven out of eight strains. Thus, in this study, we demonstrated simultaneous gene targeting using our CRISPR/Cas9 system, which may be useful for the molecular breeding of cultivated agaricomycetes.