With the rapid development of research into flexible electronics and wearable electronics in recent years, there has been an increasing demand for flexible power supplies, which in turn has led to a boom in research into flexible solid-state lithium-ion batteries. The ideal flexible solid-state lithium-ion battery needs to have not only a high energy density, but also good mechanical properties. We have taken a systematic and comprehensive overview of our work in two main areas: flexible materials and flexible structures. Specifically, we first discuss materials for electrodes (carbon nanotubes, graphite, carbon fibers, carbon cloth, and conducting polymers) and flexible solid materials for electrolytes. A discussion of the structural design of flexible solid-state lithium-ion batteries, including one-dimensional fibrous, two-dimensional thin-film and three-dimensional flexible lithium-ion batteries, follows this. In addition, the advantages and disadvantages of different materials and structures are summarized, and the main challenges for the future design of flexible solid-state lithium-ion batteries are pointed out, hopefully providing some reference for the research of flexible solid-state lithium-ion batteries.