First-half strikes to Nicolas Pennington and Adam Taggart got Glory off to a flyer in Saturday night's match in Perth, but it was Lawrence's goal direct from a corner in the 54th minute that proved the biggest highlight.
Lawrence's curling delivery was helped further by the wind, with the ball drifting over the outstretched arm of Mariners goalkeeper Andrew Redmayne and straight into the top corner to send the 7912 fans wild.
The moment of magic came just two weeks after Lawrence scored a hat-trick in a 3-1 triumph over Melbourne City.
The latest win lifted Glory (16 points) into seventh on the ladder, just three points adrift of third spot.
Central Coast (11 points) remain last, and with plenty to ponder following a match in which they didn't have a single shot on target from their 11 strikes.
Glory have now posted five wins under Adam Griffiths, and as much as the first-year coach was lavish in his praise of Lawrence, he also commended the performance of 18-year-old midfielder Giovanni De Abreu, who excelled in his first start.
"I was nervous before the game because I lost my lucky charm," Griffiths said of losing Will Freney to a hip injury.
"We just replaced him with Gio (De Abreu).
"I just want to rub his head, keep that luck. He was exceptional. He played with so much hunger, you could tell he loves football, and that's what we want here."
There were ominous signs early for Central Coast as Glory unleashed nine shots to zero within the first 13 minutes.
Redmayne had to act quickly to tip away Pennington's close-range header, and the former Socceroos custodian was the saviour again to tip away De Abreu's audacious dipping volley.
Pennington tucked away the first goal in the 24th minute when sharp passes from Trent Ostler and then Charbel Shamoon found him free at the far post.
Redmayne's fumble of Taggart's low drive in the 39th minute forced Central Coast's defence to scramble before Lawrence could follow up with a shot.
A few minutes later, Lawrence's close-range rocket hit the upright and bounced off Redmayne's back before deflecting away to safety.
Central Coast's luck finally ran out in first-half stoppage time, with Taggart's strike deflecting off a defender and wrong-footing Redmayne for a goal.
Perth ended the first half with a whopping 18 shots to their name compared to Central Coast's five.
It was more of the same in the second half as Glory attacked in waves.
Their only reward was Lawrence's brilliant moment, but it could have easily been a 5-0 win given the amount of chances they created.
"He was the best player in the park. Simple as that," Central Coast coach Warren Moon said of Lawrence.
"He was too good for us tonight."
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