Combine first 7 ingredients in a shallow dish or large heavy-duty zip-top plastic bag; add flank steak. Cover dish or seal bag, and chill 8 hours, turning occasionally.
Remove flank steak from marinade, discarding marinade.
Grill, covered with grill lid, over medium-high heat (350° to 400°) 7 minutes on each side or to desired degree of doneness. Let stand 5 minutes, and cut diagonally across grain into thin slices.