Under the idea put forward by the department, kids would only be able to fly devices heavier than the 250g figure provided they were owned and registered by an adult.
Aviation Minister Baroness Sugg explained that there are still "challenges we must overcome" to prove that drones are actually more beneficial than they are a hindrance.
She continued: "That's why we've already introduced safety measures like a height limit, and rules around airports, and today we are consulting on how we go further, including extra police powers and a minimum age requirement."
On the other hand, Gavin Wishart of the Association of Remotely Piloted Aircraft Systems has questioned the proposed changes.
He said: "We've got to promote the safe and responsible use of drones, but children are the future of the drone world, so it's also important they can have access to drones and use them.
"What the government should also be looking at is promoting the safe use of drones by bringing in areas where people can fly them safely, as it can be difficult to find areas in the UK because of things like air space restrictions and the number of people around.
"The drone industry is expected to be a large part of the economy going forward so you don't want to stop kids from exploring that."