Although obesity prevention is increasingly being implemented, attitudes towards obesity prevention in the population are largely unclear. In a representative population-based survey, n = 1,000 individuals were interviewed about their agreement with specific preventive measures and level of problem identification, using computer-assisted telephone interviewing. The results show substantial agreement with obesity prevention, especially with obesity prevention in children and with information-based prevention. There was less agreement with legal measures. Support of prevention was low in men, young people, and in those with low income. Information deficits regarding the definition, prevalence, and chronicity of obesity were identified. Based on strong overall agreement with obesity prevention, addressing specific information deficits could enhance understanding of obesity and help sustainable implementation of preventive measures.