Richard Stewart, 88, has lived in his Glenross St home for the past 20 years and has watched trees grow dangerously big on the verges outside his home.
The branches of one tree hang low and cast a shadow almost to the other side of the road, Mr Stewart said.
In November, he complained to the DCC through a Fix It form online and asked for the branches to be trimmed.
"The trees have got to be trimmed.
"At the moment if I don’t cut them off this could cause an accident."
He said he should not have had to cut the branches himself because he pays his rates.
But he was worried the branches would fall on someone or something during high winds and cause a lot of damage.
Glenross St was windy and a lot of people used the on-street parking, so it was already narrow driving along it.
On top of that, Mr Stewart said the low-hanging trees forced trucks to swerve to the wrong side of the road to dodge branches - exposing them to oncoming traffic.
He said the council needed to do something about it, and soon.
A council spokesman said it inspected trees annually to determine the most appropriate "pruning programme" from a health and safety perspective.
"The tree in question was getting low, but was passable."
It was due to be pruned early next month, but contractors hoped to get to it before then.