Officers fired live rounds and tear gas to prevent Mr Odinga's convoy from making its way to Nairobi's main park so he could address supporters.
"My anger is with that guy called Uhuru Kenyatta".
"Isn't this barbaric?", he told his supporters after driving to safety.
Odinga boycotted the new vote, saying electoral reforms had not been made.
Only 39 per cent of registered voters took part.
The Supreme Court delivers its verdict on Monday November 20 after conclusion of three petitions challenging President Uhuru Kenyatta's re-election.
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Kenya Airports Authority has refuted claims that all worldwide fights to the Jomo Kenyatta global Airport (JKIA) have been diverted to Eldoret, Kisumu and Mombasa.
"Police had 'banned" the welcoming procession citing the security of the airport but the crowds ignored the edict.
The opposition supporters pushed their way despite the heavy machinery employed by police to disperse them.
Once Odinga landed, motorcycle taxi drivers and people on foot shouted their support as the motorcade, which included lawmakers from Odinga's opposition coalition, began moving toward central Nairobi. The national airport authority said on Twitter just before midday that operations were running normally.
Kenya's prolonged election season has disrupted its economy.
Two people reportedly died during the incidents, while several others sustained injures. "I have briefed them on the situation in Kenya, and the kind of challenges we are facing following the bungled presidential elections", he said.