In order to explore the coupling inter-relationship between two closely placed memristors (MRs), a new circuit for emulating MRs is proposed. The coupling behavior between closely placed MRs is achieved by making use of the inductive coupling properties of two inductors. The most attractive advantages of this emulator are the unique capability that it offers for wireless coupling and high-frequency operation up to dozens of kilohertz. The theoretical discussion for the dynamic operation performance of this coupled MRs emulator is presented and then validated by simulation and experimental results considering different parameter configurations. The value of memductance for one MR can be altered by the MR on the other side. Meanwhile, no energy could be transferred between two MRs. Good agreement between theoretical and experimental analysis confirms that the proposed emulator could be utilized for discovering potential applications of coupled MRs.