Fergal Duffin, who roamed all over the park in the first-half, had the games’ first goal, tapping a loose ball to the net midway through.
Monaghan did have a couple of goal chances but good defence and poor decision making kept them scoreless from the 7th to the 27th minute before Pete Dooney converted a free.
In between, Derry kept picking off points, a wonderful goal from Emmett McGuckin five minutes from half time helped the home side to a 2-7 to 0-2 interval lead.
The second-half was all one-way traffic as McGuckin netted his second for 3-7 to 0-3.
Derry kept the scoreboard ticking over but Stephen Sherry did find the net for Monaghan to give them some cheer. It made no difference, though, as Derry coasted into the semis.
Scorers for Derry: E McGuckin 2-2, F Duffin 1-0, B Quigg 0-2, B Heron 0-2 frees, R Moore, C Bradley, C Spiers, S Ferrs, A Devlin, F Bell 0-1 each.
Scorers for Monaghan: S Sherry 1-0, P Dooney, D McKenna, T Kerr 0-1 each.
DERRY: K Farren; K McKaigue, R Ferris, F Duffin; K Johnston, R Moore, K Conway; C Bradley, D Johnston; C Spiers, B Heron, E McKillion; B Quigg, A Devlin, E McGuckin.
Subs: N Rocks for R Moore 45 mins, F Bell for B Heron 46 mins, G O’Neill for D Johnston 53 mins, P McNeill for B Quigg 59 mins.
MONAGHAN: R Beggan; N McKeown, K Duffy, C Boyle; D McArdle, J McGuigan, O Coyle; P Dooney, S Sherry; S Sheridan, P O’Hanlon, T Kerr; S Coyle, K McEnaney, S Carey.
Subs: R Courtney for N McKeown 20 mins, D McKenna for S Coyle 24 mins, B McElroy for D McArdle 50 mins, A Mulligan for T McCann 61 mins.
Referee: Shaun McLaughlin (Donegal)