An image encoding device includes: a first encoding unit for encoding image data using a fixed-quantizing parameter to calculate a generated code amount; a second encoding unit for encoding the image data using multiple different quantizing parameters for each of the quantizing parameters as the image data of an intra picture to calculate a generated code amount; a code amount control unit for determining a quantizing parameter by predicting a quantizing parameter for realizing a target generated code amount, and a generated code amount when employing this quantizing parameter based on the generated code amount calculated at the first encoding unit, and correcting this predicted generated code amount according to the generated code amount calculated at the second encoding unit so as to realize the target generated code amount; and a third encoding unit for encoding the image data using the quantizing parameter determined at the code amount control unit.