A control device for a homogeneous-charge compression ignition engine including a combustion chamber, an injector configured to inject fuel into the combustion chamber, an intake valve configured to open and/or close an intake port configured to introduce intake air into the combustion chamber, an exhaust valve configured to open and/or close an exhaust port configured to discharge exhaust gas from the combustion chamber, an intake passage connected to the intake port, and an exhaust passage connected to the exhaust port, the control device comprising: an air amount adjusting mechanism, including at least a throttle valve, configured to adjust an amount of air introducing into the combustion chamber; a variable valve mechanism (13, 14) configured to change a valve overlap period when an open period of the intake valve and an open period of the exhaust valve overlap with each other; an exhaust choke valve provided to the exhaust passage and configured to open and/or close the exhaust passage; a temperature sensor configured to acquire a given temperature parameter that increases as a warm-up of the engine progresses; and a processor configured, in a low-load range where the engine load is low or lower than a predetermined load, to control the variable valve mechanism (13, 14) so that the valve overlap period of a given amount or more is formed, and to control the injector, the air amount adjusting mechanism, and the exhaust choke valve so that an A/F lean mixture gas having an air-fuel ratio greater than a stoichiometric air fuel ratio is formed inside the combustion chamber, and homogeneous-charge compression ignition combustion of the mixture gas is carried out, wherein during the operation in the low-load range, the processor is configured to make an opening of the exhaust choke valve, when the temperature parameter acquired by the temperature sensor is low, smaller than the opening of the exhaust choke valve when the temperature parameter is high, wherein the engine is provided with an ignition plug configured to ignite the mixture gas inside the combustion chamber, wherein the processor is configured to cause the ignition plug to perform spark ignition, particularly at a given timing near and/or before a compression top dead center, wherein the processor is configured to cause the ignition plug to perform the spark ignition so that, during the operation in the low-load range, partial compression ignition combustion in which a portion of the mixture gas combusts by flame propagation from an ignition point of the ignition plug, and the remaining mixture gas combusts by a self-ignition is performed, and wherein the processor is configured to, when the engine is operated in the low-load range and the temperature parameter is below a given value, cause the injector to perform an early injection (Fa) in which fuel is injected in an intake stroke, and a retarded injection (Fb) in which fuel is injected in the second half of a compression stroke. an air amount adjusting mechanism, including at least a throttle valve, configured to adjust an amount of air introducing into the combustion chamber; a variable valve mechanism (13, 14) configured to change a valve overlap period when an open period of the intake valve and an open period of the exhaust valve overlap with each other; an exhaust choke valve provided to the exhaust passage and configured to open and/or close the exhaust passage; a temperature sensor configured to acquire a given temperature parameter that increases as a warm-up of the engine progresses; and a processor configured, in a low-load range where the engine load is low or lower than a predetermined load, to control the variable valve mechanism (13, 14) so that the valve overlap period of a given amount or more is formed, and to control the injector, the air amount adjusting mechanism, and the exhaust choke valve so that an A/F lean mixture gas having an air-fuel ratio greater than a stoichiometric air fuel ratio is formed inside the combustion chamber, and homogeneous-charge compression ignition combustion of the mixture gas is carried out, wherein during the operation in the low-load range, the processor is configured to make an opening of the exhaust choke valve, when the temperature parameter acquired by the temperature sensor is low, smaller than the opening of the exhaust choke valve when the temperature parameter is high, wherein the engine is provided with an ignition plug configured to ignite the mixture gas inside the combustion chamber, wherein the processor is configured to cause the ignition plug to perform spark ignition, particularly at a given timing near and/or before a compression top dead center, wherein the processor is configured to cause the ignition plug to perform the spark ignition so that, during the operation in the low-load range, partial compression ignition combustion in which a portion of the mixture gas combusts by flame propagation from an ignition point of the ignition plug, and the remaining mixture gas combusts by a self-ignition is performed, and wherein the processor is configured to, when the engine is operated in the low-load range and the temperature parameter is below a given value, cause the injector to perform an early injection (Fa) in which fuel is injected in an intake stroke, and a retarded injection (Fb) in which fuel is injected in the second half of a compression stroke.