Exhaust purification system of internal combustion engine

An exhaust purification system of an internal combustion engine, comprising:

• an exhaust purification catalyst supporting a precious metal and being able to store oxygen;
• and
• a control device including executable instructions stored in a non-transitory media for:
• determining an operating condition for the internal combustion engine via at least one sensor, and
• controlling an amount of fuel fed to a combustion chamber;
• wherein the executable instructions are provided such that when a predetermined condition for performing a fuel cut operation is detected via the least one sensor:
• the control device initiates a fuel feed control during which fuel is temporarily fed to the combustion chamber so that a rich air-fuel ratio of the exhaust gas flowing into the exhaust purification catalyst is achieved, the rich air-fuel ratio being richer than the stoichiometric air-fuel ratio, and then
• the control device initiates a fuel cut control, the fuel cut control stopping the feed of the fuel to the combustion chamber in a state where the internal combustion engine is operating,
• the executable instructions including a proviso that the control device perform the fuel cut control without performing the fuel feed control if an assessed value of an amount of adsorption of hydrocarbons at the exhaust purification catalyst, during a period when the predetermined condition for performing the fuel cut operation is being detected, is determined to be equal to or greater than a predetermined reference adsorption amount.