The figure was till 5 pm and the final polling percentage may be revised as final voting figures are yet to be tallied.
Polling was still on in about 500 booths.
The previous highest polling percentage of 73.5 was recorded in the 2012 assembly polls, Deputy Election Commissioner Sandeep Saxena said. In the 2014 Lok Sabha polls, it was 64.45 per cent.
At a press conference, Saxena said the elections were peaceful and no incident of violence was reported.
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The Congress is currently ruling the hill state and the BJP is eyeing to return to power after a gap of five years.
In the outgoing 68-member assembly, the Congress and the BJP have 35 and 28 MLAs respectively. There are four Independent MLAs while one seat was vacant.
The poll results will be announced on December 18.