We present a side-channel-attack (SCA) resistant asynchronous-logic (async-logic) Advanced Encryption Standard (AES) accelerator embodying both the masking and hiding SCA countermeasures. Our async-logic masked AES accelerator adopts a dual-rail data encoding to perform the masked 128-bit AES operations, and to enable dual-hiding to moderate both the amplitude (vertical dimension) and the time (horizontal dimension) of the side-channel signals. We implement our async-logic masked AES accelerator in FPGA and comprehensively perform the SCA evaluations based on the electromagnetic (EM) emanation. The SCA evaluations are performed based on bus-wise Hamming Distance model, bus-wise & bit-wise Hamming Weight models, and Zero-Value (ZV) model. Based on our experiment results, we show that our async-logic masked AES is secured against SCA with 1 million EM emanations. This is at least 8.3× more resistance than synchronous-logic masked AES and 199.2× more resistance than the synchronous-logic unmasked AES.