A method for controlling a laundry machine, the method comprising: performing a first filter cleaning cycle for supplying cleaning fluid to the filter, performing an air supply cycle for supplying heated air or unheated air to laundry items received in a receiving space of the laundry machine, and performing a second filter cleaning cycle for supplying cleaning fluid to the filter after finishing the air supply cycle, the air supply cycle comprising: operating a fan for circulating air in the receiving space, the fan being provided in a duct forming a flow passage for circulating air through the receiving space; and spraying cleaning fluid onto a filter to remove debris from the filter, the filter being positioned under the fan for removing debris from the air being introduced into the duct from the receiving space, wherein spraying cleaning fluid onto a filter and operating the fan are not performed simultaneously, wherein the air supply cycle comprises a step for determining whether or not cleaning of the filter is required, which is performed by determining whether or not a rotational speed of the fan has increased from a lowest rotational speed to a pre-set rotational speed measured while operating the fan, and rotating a drum of the laundry machine that defines the receiving space in which the laundry items are received, wherein rotating a drum comprises rotating the drum while spraying cleaning fluid onto the filter. performing a first filter cleaning cycle for supplying cleaning fluid to the filter, performing an air supply cycle for supplying heated air or unheated air to laundry items received in a receiving space of the laundry machine, and performing a second filter cleaning cycle for supplying cleaning fluid to the filter after finishing the air supply cycle, the air supply cycle comprising: operating a fan for circulating air in the receiving space, the fan being provided in a duct forming a flow passage for circulating air through the receiving space; and spraying cleaning fluid onto a filter to remove debris from the filter, the filter being positioned under the fan for removing debris from the air being introduced into the duct from the receiving space, wherein spraying cleaning fluid onto a filter and operating the fan are not performed simultaneously, wherein the air supply cycle comprises a step for determining whether or not cleaning of the filter is required, which is performed by determining whether or not a rotational speed of the fan has increased from a lowest rotational speed to a pre-set rotational speed measured while operating the fan, and rotating a drum of the laundry machine that defines the receiving space in which the laundry items are received, wherein rotating a drum comprises rotating the drum while spraying cleaning fluid onto the filter. operating a fan for circulating air in the receiving space, the fan being provided in a duct forming a flow passage for circulating air through the receiving space; and spraying cleaning fluid onto a filter to remove debris from the filter, the filter being positioned under the fan for removing debris from the air being introduced into the duct from the receiving space, wherein spraying cleaning fluid onto a filter and operating the fan are not performed simultaneously, wherein the air supply cycle comprises a step for determining whether or not cleaning of the filter is required, which is performed by determining whether or not a rotational speed of the fan has increased from a lowest rotational speed to a pre-set rotational speed measured while operating the fan, and rotating a drum of the laundry machine that defines the receiving space in which the laundry items are received, wherein rotating a drum comprises rotating the drum while spraying cleaning fluid onto the filter.