In order to encourage cycling, we need to reduce the hazards that cyclists face. Single-bicycle crashes or 'bicycle-only crashes' are falls and obstacle collisions in which only one cyclist is involved. Between 60 and 95% of cyclists admitted to hospital or treated at an emergency department are victims of single-bicycle crashes. As proportion of the total number of traffic casualties the share exceeds 20% in most countries with medium to high levels of cycling. This paper discusses the prevalence of the problem and describes measures that may both reduce the risks and make cycling a more attractive transport choice at the same time.