Acute pancreatitis is an inflammatory disease in which most common etiologies are biliary lithiasis and alcoholism. Acute pancreatitis can be classified into 2 groups according to its morphologic features: interstitial edematous pancreatitis and necrotizing acute pancreatitis. The prognosis of this group of diseases and its complications varies significantly and contrast-enhanced computed tomography is the imaging study of choice for the diagnosis and detection of complications. In this review, we aim to summarize the changes introduced in the revised Atlanta classification and describe other usual and unusual local complications of acute pancreatitis that are not analyzed in that classification. We will also describe early detection signs and provide an accurate interpretation of complications on contrast-enhanced computed tomography that will lead to prompt management decisions which can reduce the morbidity and mortality of these patients.