Neale Cooper's men rarely got going as an attacking force, and were forced to defend for large period of this re-arranged fixture at The Matchroom Stadium.
Orient started in positive fashion and quickly began to press Pools down the right flank where the dangerous Moses Odubajo was fed plenty of the ball in the opening stages.
And it was the winger who had the first effort on target when his volley bounced in to the ground and up towards the top corner before a timely and spectacular finger-tip intervention from Scott Flinders.
Undeterred, the winger came back for more moments later when he chased after a Scott Wagstaff flick but again his goalbound effort from the right side of the box was palmed away by the Pools keeper.
Flinders made it a hat-trick of saves in wonderful fashion when he flung himself full length to somehow claw Nathan Clarke's goalbound header round his right-hand post after the big centre-back met a right wing corner powerfully.
Ritchie Humphryes had to get in the way of another Odubajo effort to send it spinning wide, before Steve Howard registered Pools' first effort of substance when he glanced on Neil Austin's free-kick which was well collected by home keeper Ryan Allsop.
The hosts came out with renewed vigour at the start of the second period and could have stolen the lead inside sixty seconds when Odubajo saw his shot blocked by Holden and Brunt sent the loose ball over the bar.
However, Orient and Brunt would not have to wait long for the opener and just a minute later danger man Odubajo found enough space to cross unchallenged to the far post where Brunt was on his own to head past the helpless Flinders.
Dean Coz could have doubled the lead when he ran on to Austin's header clear to the edge of the box, but he also found Flinders in top form and keeper turned his drilled effort over the bar.
The diminutive winger then turned provider when he slipped a ball in behind for Brunt who should have done better but dragged his left-footed shot wide across goal.
Pools introduced Jordan Richards from the bench and the youngster came close to celebrating his arrival with the equaliser but his twenty-five yard free-kick was watched wide of the post by Allsop.
And then came the moment that summed up a miserable evening for Pools when Steve Howard met a right-wing corner with a powerful header only to see it crash back off the crossbar where Jack Baldwin could not force it over the line.
Orient swung forward again as if spurred on by the let-off, Cox seeing a shot deflected over the bar before then drawing another wonderful save from Flinders with a low swerving drive which the Pools keeper somehow finger-tipped round the post.
Odubajo drilled an effort in to the side netting before being substituted to a standing ovation by the home crowd after an eye-catching display from the 19-year-old.
For Pools, they were left to contemplate the continuation of a dismal away run which has seen them winless on the road since March.
Full Time: Leyton Orient 1 Pools 0
Booked: Humphreys (25), Howard (61), Baldwin (73)
Att: 2664 (127 Pools)
Pools: Flinders, Austin, Baldwin, Hartley, Holden, Murray (Luscombe 77), Sweeney, Humphreys, Franks (Richards 66), Noble (Poole 55), Howard.
Subs not used: McHugh, Collins, Rutherford, Walton
Leyton Orient: Allsop, McSweeney, Sawyer, Chorley, Cox, Smith, Clarke, Odubajo (Griffith 90+2), Rowlands, Brunt, Wagstaff.
Subs not used: Baudry, Symes, Laird, Cook, James, Mooney.