A process for combined removal of siloxanes and sulfur-containing compounds from biogas streams, such as streams from landfills or anaerobic digesters, comprises heating the biogas stream and optionally mixing it with air, feeding the gas to a first filter unit with high temperature resistance, injecting a dry sorbent into the first filter unit to capture siloxanes present in the gas, recycling part of the exit gas from the first filter unit to the inlet thereof for the sulfur-containing compounds to be captured by the dry sorbent or optionally to a second filter unit inlet for the sulfur-containing compounds to be captured by a sulfur-specific sorbent and recovering clean gas from the first or optionally from the second filter unit.