1995 Honda Accord engine oil burning

Are you smelling burnt oil or is the engine consuming oil? 180,000 miles would be indicative of an engine overhaul as your piston rings have probably worn enough to let oil bypass and burn in the combustion chamber. It is also possible that you could be leaking some oil past the valve guides on your cylinder head into the combustion chamber as well. How many qrts of oil do you need between oil changes?

I'm not smelling burnt oil and there is no smoke. Some say it might be the piston. But usually if that is the case, the car may start up tough. Everything is fine. Just that after 2 weeks about roughly driving 500+ miles, I had to put in 1 quart of oil since it was almost gone. Please help.

Unless you are leaking it onto the ground then it is burning the oil in the combustion chamber. You may only need to go so far as removing the cylinder head and replacing valve stem seals. Unfortunatly at 180,000 miles an engine overhaul is just around the corner unless you have been using synthetics.