Omar was given a guard of honour, which was followed by march past in which contingents of various security forces, police and school children took part.
A large number of people had turned up for the function despite moderate showers lashing large parts of the Valley since yesterday.
With authorities apprehending threat from militants, tight security arrangements were put in place across the state, particularly around Bakshi Stadium, the main venue for celebrations.
This has been part of the security drill for Independence Day and Republic Day celebrations after militants used a cellular phone to trigger an IED blast close to Bakshi stadium in 2005.
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Closed circuit TV cameras were installed within the Bakshi Stadium to keep an eye on any suspicious element.
Sharpshooters were positioned atop buildings surrounding the venue.
Security barricades were erected at many places across the city, and roads leading to Bakshi Stadium in a radius of one kilometre were sealed since last night.
Security was intensified this Independence Day in view of the recent spurt in militant attacks on security forces in Kashmir Valley.
Independence Day functions were also held at all district headquarters in the Valley, where cabinet colleagues of Omar took salute at the parades.
The celebrations passed off peacefully and there were no reports of any untoward incident from anywhere in the Valley, a police spokesperson said.