SINGAPORE, Nov 7 (Reuters) - Singapore Airlines , the world's largest airline by market cap, said on Friday its longer haul premium travel business was holding up, but short haul was falling.

"We have no plans to start reducing headcount at this juncture," said CEO Chew Choon Seng at a post-results briefing, adding that the airline was reducing costs elsewhere by cutting routes and through pay adjustments.

Singapore Airlines on Thursday posted a 36 per cent fall in quarterly profit, dragged down by record jet fuel prices and slowing travel demand.

Singapore Air has seen declining passenger demand this year as the global economic slowdown crimps corporate and leisure travel, forcing it to announce a cut in flights from the city-state to other Asian cities.

(Reporting by Daryl Loo; Editing by Neil Chatterjee)