As the figure is more than 100,000, this means Parliament will have to consider debating it.
The petition on parliament.uk says: "Every year more and more people, animals and wildlife get hurt by fireworks.
"It’s time something was done to stop this. There are enough organised firework groups around for us to still enjoy fireworks safely so please help me stop the needless sale of them to the public!
"The noise from fireworks causes a great amount of fear, stress and anxiety in wild animals.
"Errant fireworks can also cause environmental damage though fires, and from the release of poisonous chemicals and particle-laden smoke, which is not just inhaled by wildlife, but contaminates the natural environment.
"In England last year, 4,436 individuals attended A&E because of an injury caused by a firework - more than double the 2,141 in 2009/10."
It comes after it was claimed a puppy died from fright caused by fireworks this weekend.
The terrier named Molly was only 18-weeks-old when she suffered a heart attack triggered from 'loud bangs going off', reports stated.
Another petition on change.org, has gathered more than 500,000 signatures as well.
The law currently says only adults can buy fireworks and cannot set them off between 11pm and 7am, except on Bonfire Night, New Year’s Eve, Diwali and Chinese New Year.
It is also illegal to set off or throw fireworks (including sparklers) in the street or other public places.
The RSPCA's #BangOutofOrder campaign cites a recent poll which says around 62 percent of dogs show signs of distress during fireworks along with 54 percent of cats and 55 percent of horses.
The British Horse Society reports 20 deaths, 10 severe injuries, and 88 mild to moderate injuries in horses in fireworks incidents since 2010.