An amateur golfer who turned around at the wrong moment and missed seeing his hole-in-one got an incredible second chance when he scored another ace just six holes later.

Jim Grant said he "went into denial" after he aced the 11th and 17th holes at Green Acres Golf Course in Kew, in Melbourne's east, on Wednesday.

"I got the first one in a par three," he said.

Jim Grant's scorecard after scoring two holes-in-one. ( Supplied: Green Acres Golf Club )

"I hit a lovely 8-iron up and I thought the ball was getting close and I turned to the fellas to say 'I think this is going to go close' and they were all jumping up and down.

"I kind of missed it going in."

Six holes later he asked the three men he was playing with what the chances were of it happening again.

"One of the guys just flippantly said about 60-million-to-one and I stood up, hit the 5-iron and in it went," Mr Grant said.

"We all kind of went into denial. We just thought this isn't possible."

One-in-67-million odds?

Mr Grant wandered up to the hole, bringing his putter with him "just in case" his eyes had deceived him, but could not see the ball anywhere near the green.

He eventually looked down into the hole.

"There it was just sitting there smiling back," he said.

"We jumped for joy and whooped a bit. It was quite amazing."

No-one at the club could remember a time when another golfer had scored two aces on the course.

Mr Grant aced the 11th and 17th holes at Melbourne's Green Acres Golf Course. ( Supplied: Green Acres Golf Club )

The widely reported odds for two holes-in-one by an amateur golfer are 67-million-to-one, but mathematicians disagree over what the true odds would be given the number of variables.

Mr Grant said at the end of the day, despite the two perfect scores his game was on handicap.

"It was an enjoyable round of golf with three very good guys and a beautifully prepared course, so it was not a problem," he said.

"I got one [ace] last year, so I've jumped to three."