A regeneration control device, which regenerates a filter (13) for trapping particulate matter in exhaust gas from an engine (1), is disclosed. The filter (13) supports a catalyst which oxidizes unburnt components in the exhaust gas. The regeneration control device has a temperature sensor (14) which detects a filter inlet exhaust gas temperature (Tdpf_in_mea); and a microcomputer (22). The microcomputer (22) is programmed to compute a filter outlet exhaust gas temperature (Tdpf_out_cal), not including temperature rise due to oxidation reaction of unburnt components based on the detected inlet exhaust gas temperature; compute the filter bed temperature (Tbed_cal) based on the detected inlet exhaust gas temperature and computed outlet exhaust gas temperature; compute a temperature rise (.DELTA.Thc1) due to oxidation reaction of unburnt components; correct the bed temperature based on the computed temperature rise (.DELTA.Thc1).