If you have good fat spark and there was no undue valve train noise prior to this problem, then your problem lies with fuel delivery, or restriction of it.
Air/fuel mix has to be right at start up and as such, all of the inlet system should be inspected or serviced. From air filter inlet, filter, manifolds. Fuel tap, fuel filter, fuel lines, float levels, float needle and seat, pilot and main jets, needle and slide.
Start with filters, check needle/slide are rising in unison and fuel is flowing freely to floatbowls. Good idea to take drains out of carby's and spray some aerosol carby cleaner down fuel lines till it flushes thru' carby' drains. Check carefully condition of inlet manifold providing an airtight seal. There is a sitelink below that has exploded views and part names for all sections for your bike to assist.
Cheers.
http://www.cmsnl.com/suzuki-gs500-2000-euy_model13470/partslist/
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