Council bosses today said they had "serious concerns" over the site - an entire railway cutting in Haghill filled in with rubbish over recent months.
Local residents say up to 40 trucks a day are tipping in to the mile-long 30-foot-deep cutting, which is now almost level with the surrounding land.
A private landowner is understood to have bought the old railway cutting and has permission from the Scottish Environment Protection Agency (Sepa) to "store" waste on the site.
Council bosses, however, insist there is no planning permission in place for the huge earth-moving operations on the site.
Local councillor Frank Docherty said: "The landowner needs to put a stop to this dumping immediately while our planners and Sepa take a closer look at what has been happening.
"Communities can pay a high price for this kind of behaviour, which is bad enough in itself, but it also encourages flytippers."
The cutting appears to have been filled with rubble and earth from building sites.
Residents, however, said they had seen old tires, fridges and even TVs dumped on the site - although it is not clear by whom.
Glasgow City Council's planning enforcement team is leading the investigation.
A council spokesman said: "This is an issue we are aware of and, in terms of planning consent, it is a matter of serious concern.
"It is our intention to meet with the landowner as soon as possible.
"Depending on the outcome of that meeting, officers will consider what action is appropriate."
People living close to the cutting today said they had been given no warning that the site was to become a dumping ground.
Susan McGurk, 52, of Appin Road, used to have the deep cutting at the end of her garden. Now it has been infilled right up to her fence.
"We didn't get lettered, we didn't get told anything," she said.
"One day diggers and trucks appeared. Now we can get 40 a day, sometimes 10 queuing up with builder's rubble.
"I have seen televisions dumped, a fridges and tyres and all sorts of things. And the trees in the cutting are just being buried."
"My whole house shakes with the work going on.
"Nobody has told us what is happening - we are living next to filth and noise. It's a complete disgrace.
"The cutting must have been 30ft-40ft deep. Now it is more or less full, but they still keep coming with more rubbish."
Her next-door neighbour Mick Leedham, 69, also received no warning of the work.
The retired bus driver said: "There must be tens and tens of thousands of tonnes in the cutting - without so much as a letter to inform us."
The cutting extends from close to the Alexandra Parade station through Haghill and ends at the junction of Carntyne Road and Todd Street, immediately behind the East End campus of John Wheatley College.
It is almost completely full - and in one stretch has spilled out beyond the old red-brick Victorian walls marking the edge of the former railway land.
One local who asked not to be named, said: "People are flytipping as well.
"But there has always been flytipping in the cutting."
Rubbish, including garden waste and bottles is building up around the filled-in sections.
The site is licensed to store waste - under a special exemption issued by Sepa.
That means up to 50,000 tonnes can be kept for up to six months, provided it is subsequently used for construction purposes.
However, council sources stressed this was not the same as having planning permission to fill in the cutting.
A spokesman for Sepa said: "We aware of complaints in relation to waste being stored at a site near Appin Road.
"The site is regulated by us under a registered exemption for the storage of specific waste materials used for construction purposes.
"Sepa officers are carrying out an investigation of the site following complaints that waste materials are starting to infringe on the boundaries of several households in the area.
"While the investigation is still ongoing, appropriate action will be taken in the event that exemption conditions have been breached."