We introduce the public computer program HiggsSignals, which can be used to constrain arbitrary Higgs sectors from measurements of Higgs masses and rates at colliders. Using this code, we derive constraints on the parameters of Higgs sectors beyond the Standard Model from all currently available channels for the observed LHC signal. The results are presented both in a model-independent framework with coupling scale factors, and in model-dependent examples where e.g. specific scenarios in the MSSM are analyzed.