Cyclonic separating apparatus for a cleaning appliance such as a vacuum cleaner has a longitudinal axis, an upstream cyclonic separator and a downstream cyclone assembly. The downstream cyclone assembly comprises a plurality of cyclones arranged in parallel with one another. The downstream cyclones are arranged in a first set in which each cyclone has a longitudinal axis inclined at a first angle (α) to the longitudinal axis of the cyclonic separating apparatus and a second set, in which each cyclone has a longitudinal axis inclined at a second angle (β) to the longitudinal axis of the cyclonic separating apparatus. The second angle (β) is greater than the first angle (α). The invention allows the downstream cyclone assembly to be compactly packaged.