Laura Berry began the scoring in the opening period before Katie Wilkinson produced one of the strikes of the season from just inside the Hibs half of the pitch.
Jodi McLeary then continued her excellent goalscoring form by adding to the lead in the second-half, with Wilkinson capping off the scoring just minutes later.
Rangers remain flawless in the league this season as they make the short trip to face Glasgow City in midweek.
Notable when the team news dropped an hour before kick-off was the inclusion of Sarah Ewens on the substitutes bench, with the forward having last featured for the club back in December 2024.
Shu Obha, too, was back between the posts following her return from the Asian Games, and she was called into action on seven minutes when Libby Smith burst forward and forced the Japanese into action at her near post.
Down the opposite, the Hibs goalkeeper was almost left with egg on her face when Jodi McLeary closed her down inside the six-yard area, but unfortunately the blocked attempt looped onto the roof of the net.
Rangers had the ball in the net on 20 minutes when Berry showed tremendous skill on the byline to leave her marker in her slipstream, but when Calliste Brookshire forced the ball home on the goalline the referee adjudged the Greek international to have taken it out of the goalkeeper’s hands.
There were no complaints from Brookshire, and it mattered little as just three minutes later, the home side broke the deadlock.
Brookshire was at the heart of the move when she manufactured the space on the left with a clever stepover before delivering in search of Wilkinson. The English forward couldn’t quite bring it under control, but she had the presence of mind to lay the ball into Berry who arrowed a delicious finish into the bottom corner from 15 yards out.
Leanne Crichton’s side were firmly in control, and they doubled their advantage just seven minutes later with a moment of magic which Wilkinson has trademarked across her time in Glasgow.
There didn’t appear to be much developing for the forward when she collected the ball just inside the Hibs half, but upon lifting her head she spotted Eve Annets outside of her penalty area and lifted a sumptuous lob over the backtracking goalkeeper from fully 40 yards out.
At the outset of the second period, McLeary found herself through on goal with just Annets to beat, but her finish was dragged wide of the target.
The woodwork was then rattled just before the hour-mark when a free-kick delivery was floated dangerously towards the near post where Wilkinson produced a deft glancing header which kissed the top of the crossbar.
Moments later, Brookshire danced menacingly down the left before pulling the ball back into the vicinity of McLeary 12 yards out, but the Academy graduate swept wide on the first-time effort.
However, she was soon wheeling away in celebration to add a third of the afternoon for the Gers and effectively ensure of the victory.
The left-hand side was proving a fruitful avenue in attack for the hosts as Brookshire advanced into the penalty area and set her sights on goal. She was quickly crowded out, but after Berry was denied on the rebound the ball broke kindly to McLeary who forced the ball over the goalline from point-blank range.
It was a third successive game in which the midfielder has etched her name onto the scoresheet.
The goals were flying in at Broadwood as, just 60 seconds later, a fourth was curled home by the irrepressible Wilkinson.
May Cruft was felled on the edge of the penalty area by Faye Bryson, which set the stage for Wilkinson to step forward and bend a supreme effort into the top corner and out of the reach of Annets.
Hibs found a consolation when Kyah Simon raced beyond the Gers backline and dispatched beyond Obha on her left side before they halved the deficit in the dying embers through a Jasmine McQuade effort.
However, it was too little, too late for the Edinburgh outfit as the Gers saw out the contest.
RANGERS: Obha, Smith (Collins, 79), Austin, Roelfsema (Hill, 66), Docherty, Cruft, Thrysoe, McLeary (Blake, 71), Berry (Black, 79), Brookshire (Hay, 66), Wilkinson
SUBS: Fife, Boyce, Connolly-Jackson, Ewens
HIBERNIAN: Annets, Bryson, Gibb (Morrison, 79), Hunter, Herron, Fitzgerald, Smith, Khrystiuk (Andrews, 45), Colvill, Boyle (Keenan, 69), Simon (McQuade, 69)
Subs not used: Anastasiadis, Boughton, Broadrick, Notley, Ramsay
