Accrual basis of accounting means that the costs or revenues of events are recognized in the period in which they occur, though the cash flows may take place in another accounting period.

Like for a period of July 05 - October 05, if the organization was due to receive 1000K from an individual X but has not recieved yet for some reason, will recieve in November 05. It would be still be accounted for in the period July 05 - October 05 and not the period starting from November 05.