Abstract: A method for granting access to a bus is disclosed where a fair arbitration is modified to account for varying conditions. Each bus master (BM) is assigned a Grant Balance Factor value (hereafter GBF) that corresponds to a desired bandwidth from the bus. Arbitration gives priority BMs with a GBF greater than zero in a stratified protocol where requesting BMs with the same highest priority are granted access first. The GBF of a BM is decremented each time an access is granted. Requesting BMs with a GBF equal to zero are fairly arbitrated when there are no requesting BMs with GBFs greater than zero wherein they receive equal access using a frozen arbiter status. The bus access time may be partitioned into bus intervals (BIs) each comprising N clock cycles. BIs and GBFs may be modified to guarantee balanced access over multiple BIs in response to error conditions or interrupts.