Abstract: The invention provides liquid hard surface cleaning compositions comprising multiple partial compositions held separately from each other in a multiple compartment container which is provided with a non-spray dispensing system. One partial composition comprises a peroxygen bleach compound, preferaqbly hydrogen peroxide. The total composition comprises a multi-component thickening system of which the components are divided over the partial compositions in such a way that the total composition thickens on dispensing. Each partial composition has a pH at which the components in it are stable, while after mixting the total composition has a pH suitable for cleaning. The compositions preferably contain a quaternary imine salt bleach activator and a detergent surfactant. The number of partial compositions and of the compartments in the container is preferably 2.