Yes, there's 2 wide velcro straps underneath and one at the front. I tend not to put too much heavy stuff in the side pockets, but to be honest once a battery is in the lower compartment it doesn't move about. I have a bungee I put across the bag onto the rack if I'm filling it upBrilliant thank you, exactly what I was looking for, I take it it just velro's to the rear rack? is it sturdy?