West Yorkshire Fire and Rescue Service has 10 pumps at the scene at the height of the fire overnight, and is warning people to stay away from the area.
The National Trust, which runs part of the moorland area, tweeted an image showing a huge plume of smoke billowing into the sky.
The fire service said the blaze had a "one mile flame" and had brought in specialist wildfire units to help control the blaze. It said it was working alongside the Greater Manchester Fire Service to put out hotspots using their specialist wildlife Argocat.
A statement on the West Yorkshire Fire and Rescue Service, posted at 10.30pm on Sunday night (Apr 25) said: "10 pumps plus specialist wildfire units are tackling a fire with a 1 mile flame front on Marsden Moor. Crews are also using blowers and beaters to tackle the fire. Local residents should keep their doors/windows closed.
"Please stay away from the area until the incident is closed. Road closures are in place. We are working in partnership with Greater Manchester Fire, West Yorkshire Police, Mountain Rescue and the National Trust at the incident."
The National Trust said: "There are still small plumes of smoke on Marsden Moor this morning. Fire crews are on site damping down. Whilst the flames appear to be out, moorland fires can reignite very easily, especially as the weather gets warmer today."