The first part of the match was defined by two VAR checks as Rangers made their long-awaited return to a fully reopened Ibrox for their first league game of the season.
Tom Lawrence had his head in his hands after the offside flag looked to have ruled out his stunning strike right into the top corner. However, the Rangers forward was soon celebrating after the goal was given following a VAR check to confirm he was actually onside.
Then, just before the half-time whistle, Hibernian were given a chance to get back on level terms with a penalty after a VAR check adjudged John Souttar to have handled Mykola Kukharevych's close-range shot from a corner. However, Rangers were reprieved as Jack Butland, who moments before made a super save to keep out Hyeok-kyu Kwon's goalbound effort, guessed the right way to keep out Kukharevych's weak spot kick.
After the break, there was an unease at Ibrox. Rangers failed to get going and they had to wait until the 74th minute for their first shot on target in the second half.
TrendingSubstitute Cyriel Dessers should have wrapped up the game for the hosts but goalkeeper Josef Bursik spectacularly kept out the striker's header to keep his side in the game.
Rangers were almost made to pay for their lacklustre second half when sub Dwight Gayle headed Nicky Cadden's cross agonisingly wide, but Philippe Clement's side held on to cut the gap to Celtic and Aberdeen at the top of the table to five points.
' Kris Boyd at Ibrox:
"It's always difficult coming off a European game in midweek, especially when you are away from home.
"There was also a lot of expectation coming back to Ibrox and playing in front of a full house.
"Rangers huffed and puffed. They got themselves ahead through a fantastic strike and yes, it's great to get the three points, and that's the way Clement will look at it, but the second half has to be a lot better.
"Hibs will be really disappointed they haven't taken anything from Ibrox. They were side forcing things after the break, forcing Rangers to defend.
"If there's one thing Rangers and Clement can take confidence from it is the fact that is now four clean sheets in a row. Defensively, they sometimes look uncomfortable, but they are getting clean sheets."