Second-half goals from Ian Murray and Craig James gave Hibs a valuable three points at Livingston.
The Edinburgh side recovered after a disappointing first-half display to win comfortably in the end.
Even a goal with the last kick of the game from Philippe Brinquin could not ruin the day for Bobby Williamson's side.
Chances were few and far between in a poor first half.
Livingston looked the more threatening but Nick Colgan dealt with everything that came his way.
Midway through the half, the goalkeeper slapped a Barry Wilson cross into the path of Rolando Zarate but he recovered in time to divert the striker's shot past for a corner.
Zarate had another chance moments later but his shot lacked power and Colgan saved comfortably.
Hibs' only response was a neat piece of ball juggling from Tom McManus in front of goal but his final effort lacked power and Javier Sanchez Broto was never seriously troubled.
Eight minutes before the break, a free-kick from Gary Bollan broke kindly for Wilson but Colgan reacted well to block his shot.
Wilson should have opened the scoring four minutes later when Lee Makel beat the offside trap with a through pass but the striker was denied when Colgan guessed correctly to save with his right hand.
Substitute Cherif Toure-Maman went close early in the second half after a miscue from Paul Fenwick but he directed his left-foot shot inches wide of the post.
At the other end, McManus forced a desperate save from Broto with a close-in header after a great cross from John O'Neil.
The goal arrived in the 55th minute when a clever flick from Craig James put Murray in the clear and his left-foot shot had too much power for Broto.
James then notched the second in the 67th minute after an Alen Orman cross caused panic in the Livingston area and the ball broke for the midfielder to accept an easy chance.
Livingston never looked like salvaging it but scored a stoppage-time consolation goal when Brinquin pushed the ball home after a scramble.