Some demonstrative embodiments include devices, systems and methods of Access Network Discovery and Selection Function (ANDSF) for traffic offloading. For example, an ANDSF Management Object (MO) may include one or more ANDSF policies, at least one ANDSF policy including ANDSF selection criteria to offload traffic between a cellular network and a Wireless Local Area Network (WLAN); and a preference indicator to indicate a preference between the ANDSF selection criteria and Radio Access Network (RAN) selection criteria from the cellular network.