Norburn's sweet strike from outside the area gave Gulls goalkeeper Brendan Moore no chance as the ball flew into the top corner with 24 minutes on the clock.
Chris Holroyd confirmed victory on 65 minutes with a second memorable goal as his fierce strike went in off the crossbar.
Report supplied by the Press Association.
Match ends, Macclesfield Town 2, Torquay United 0.
Second Half ends, Macclesfield Town 2, Torquay United 0.
Substitution, Macclesfield Town. Paul Lewis replaces Jack Mackreth.
Courtney Richards (Torquay United) is shown the yellow card for a bad foul.
Substitution, Macclesfield Town. Neill Byrne replaces John McCombe.
Corner,  Macclesfield Town.
Substitution, Torquay United. Jamie Reid replaces Brett Williams.
Goal!  Macclesfield Town 2, Torquay United 0. Chris Holroyd (Macclesfield Town).
Substitution, Torquay United. Sam Chaney replaces Damon Lathrope.
Corner,  Macclesfield Town.
Corner,  Macclesfield Town.
Corner,  Macclesfield Town.
Brett Williams (Torquay United) is shown the yellow card for a bad foul.
Second Half begins Macclesfield Town 1, Torquay United 0.
First Half ends, Macclesfield Town 1, Torquay United 0.
Goal!  Macclesfield Town 1, Torquay United 0. Ollie Norburn (Macclesfield Town).
Corner,  Macclesfield Town.
Corner,  Macclesfield Town.
Corner,  Macclesfield Town.
First Half begins.
Lineups are announced and players are warming up.
Ollie Norburn marked his Macclesfield debut with a stunning volley as Torquay were beaten 2-0 at Moss Lane.