A storage system includes a host device and a storage device. The host device provides first input data for data storage function and second input data for artificial intelligence (AI) function. The storage device stores the first input data from the host device, and performs AI calculation based on the second input data to generate calculation result data. The storage device includes a first processor, a first nonvolatile memory, a second processor and a second nonvolatile memory. The first processor controls an operation of the storage device. The first nonvolatile memory stores the first input data. The second processor performs the AI calculation, and is distinguished from the first processor. The second nonvolatile memory stores weight data associated with the AI calculation, and is distinguished from the first nonvolatile memory.