State of charge (SOC) and state of health (SOH) of battery are significant indicators of electric vehicle power battery, and to guarantee effective, safe, and steady operation of electric vehicles, precise SOC and SOH estimate is crucial. Due to the coupling relationship between SOC and SOH, the estimation precision of SOC or SOH alone will be affected, so the joint estimation of SOC and SOH is an urgent problem to be solved. The joint estimation strategies were mainly divided into model-based methods, data-driven methods and mixed methods, and each type of methods was analyzed and summarized. Finally, the development trend of SOC and SOH joint estimation was described.