Summary Today, with the growth of the Internet of Things (IoT), Unmanned Aerial Vehicles (UAVs) can play a significant role in terms of stability, reliability, connectivity, and coverage. The integration of UAVs and IoT led to the Internet of Flying Things (IoFT). Internet of drones (IoD) is an infrastructure that provides access and control over the Internet between users and drones. One of the most critical challenges in IoFT and IoD is security. In this article, a systematic review is proposed to analyze the existing literature in the field of IoFT and IoD security. We explain the research methodology including the article selection process and the search queries. Thirteen articles were selected out of 166 articles that were published between 2019 and September 2021. Furthermore, the security approaches in the selected articles are classified into five main categories: security vulnerability and eavesdropping, security realization by Blockchain, secure trajectory and secure communication link, authentication and privacy approaches, and security‐enhanced resource allocation. The main ideas, advantages, disadvantages, the employed tools, and evaluation parameters of each selected article are also discussed in detail. Finally, we point out the open issues and orientations of future researches.