The time spread of muons within EAS has been determined by measuring the time of arrival of individual muons with respect to the extreme shower front with an accuracy of +or-10 ns. The integral time distributions averaged over a group of showers are presented as a function of shower parameters. For near vertical showers it is found that the 10%-90% time spread of muons increases from about 100 ns at an EAS core distance of 150 m to about 160 ns at 450 m. These results are shown to be in reasonable agreement with predictions based on model calculations.