The Permanent Court of Arbitration "commenced the hearing on the merits and remaining issues of jurisdiction and admissibility," the Hague-based tribunal said in a statement.
Manila has called for the tribunal, which is more than a century old, to rule on the dispute, appealing to the UN Convention on the Law of the Sea.
Beijing claims almost all of the South China Sea, putting it in conflict with several neighbours, and is a party to the Convention but has rejected the court's jurisdiction on the issue.
The hearing, expected to last until November 30, is being held behind closed doors. But Australia, Indonesia, Japan, Malaysia, Singapore, Thailand and Vietnam are allowed to have observers present.
Beijing has never precisely defined its claims to the strategic waterway, through which about a third of all the world's traded oil passes.
The waters -- claimed in part by Vietnam, Malaysia, the Philippines, Taiwan and Brunei -- have become the stage for a tussle for dominance between Beijing and Washington, the world's two largest economic and military powers.
Beijing has in recent years rapidly built artificial islands, which neighbours fear will be used as military outposts.
Manila hopes that a ruling in its favour from the court, which was established in 1899, could put pressure on Beijing to rein in its territorial ambitions.
In a July hearing in The Hague, Philippine Foreign Secretary Albert del Rosario warned the very integrity of UN maritime laws was at stake.
