The paper aims to study the responsive design of the brand logo to better adapt to the needs of multiple types of mobile terminal equipment, thereby promoting the online spread of the brand in the post-epidemic era. On the basis of combing the development of responsive logos, by the case analysis of the types of responsive logos, the communication advantages of responsive logo design are summarized, and the responsive design principles of logos in the post-epidemic era are discussed.Brand logos generally adopt three conventional methods (changing layout, removing text, and simplifying graphics) to make responsive design strains. The responsive brand logos show obvious advantages in online communication applications. In the post-epidemic era, the design of responsive brand logos has become increasingly important. Its advantages in communication efficiency, accuracy and emotional expression make it fully adapt to online brand communication. Under the premise of being identifiable, communicable, and experience-able, the design of responsive brand logos must follow:the graphic screen display principle of "extended" response; the information dissemination principle of "balanced" response; and the visual experience principle of "continuous" response.