A control device is configured to estimate a soot deposition amount (PM deposition amount) in a DPF for an exhaust purification device that is configured to purify exhaust of a diesel engine using the DPF, and determine a regeneration timing for the diesel engine based on the estimated PM deposition amount. As a technique of determining the regeneration timing, the control device employs a first determination technique of detecting that the PM deposition amount is a first threshold or more and a state in which the PM deposition amount is the first threshold or more has continued for a first predetermined time and a second determination technique of detecting that the PM deposition amount is a second threshold (>the first threshold) or more and a state in which the PM deposition amount is the second threshold or more has continued for a second predetermined time.