The Scottish boss has been left exasperated by his side's ability to blow hot and cold.
Everton face Birmingham on Wednesday knowing a third successive league victory will take them into eighth place, just behind local rivals Liverpool.
They go into the match at Goodison Park on the back of a win at Newcastle, but that came in the wake of a home FA Cup defeat by second tier Reading.
Moyes said: "I want the players to show how good they are and go on a decent run and get a bit of consistency.
"Our players are always good at bouncing back and showing it matters to them. I think the resolve has always been there. It has been in the make-up over the years. But we do not want to be winning one game and losing one."
Source: PA
Source: PA