There is provided an image blur correction apparatus. A detection unit detects shake occurring in an image capturing apparatus. Based on the shake, a determination unit determines a first correction amount and a second correction amount that are for correcting image blur. A transmission unit transmits a second correction amount to a second image blur correction apparatus via a communication device, the second image blur correction apparatus controlling a second correction member based on the second correction amount. An acquisition unit acquires a correction error of the second correction member caused by a communication delay of the second correction amount in the communication device. Based on the first correction amount and the correction error, a control unit controls a first correction member configured to correct image blur of the image capturing apparatus so as to reduce the correction error.