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.

The world ranking event is part of the new Home Nations quartet of events - any player who wins all four tournaments will receive a £1m bonus.
It is the first professional tournament in Northern Ireland since 2008.
"It's brilliant. Everyone's been asking about an event here and now we've got one," said Belfast player Joe Swail.
The format for the tournament, to take place from 14-20 November, will be a flat draw with all players starting in the first round.
Total prize money for each of the Home Nations events will be £366,000, with the winner to receive £70,000.
"There's definitely an appetite for a ranking event. Belfast is a brilliant place and I think the event will be a great success," added the two-time World Championship semi-finalist.
"I feel as if snooker is coming home with these new big events in the UK.
"I know the game is growing massively in China and it's nice to travel.
"But for snooker in the UK to keep improving, it's important that we develop the game at grassroots and it helps the profile of the game having tournaments like this."

The first Grand Slam of the 2016 season runs from January 18-31 and the baby is due in mid-February.
Asked if he would withdraw from the final in such a scenario, the 28-year-old Scot said: "I'm going to fly home.
"I'd be way more disappointed winning the Australian Open and not being at the birth of the child."
Murray, a double Grand Slam winner, said the current plan is to compete in the Australian Open and then take February off to spend time with Kim and the baby.
He was speaking while competing in the Hopman Cup event in Perth, where he partnered Heather Watson to a 2-1 win for Great Britain against France on Monday.
Murray put Great Britain ahead when he defeated Kenny de Schepper 6-2 6-2 in the men's singles.
Watson lost to Caroline Garcia 6-3 5-7 6-3 in the women's singles to level the tie.
Murray and Watson then beat De Schepper and Garcia 6-2 5-7 10-6 in a mixed doubles match decided on a champions tie-break.
Ollie Norburn marked his Macclesfield debut with a stunning volley as Torquay were beaten 2-0 at Moss Lane.
[NEXT_CONCEPT]
Titanic Belfast is to be the venue for the new Irish Open tournament in November, at which 128 of the world's leading players will compete.
[NEXT_CONCEPT]
British number one Andy Murray says he would leave the Australian Open early if his wife, Kim, goes into early labour with their first child.