He said the authority is pro-drone use, as long as they are used safely.
People must particularly be aware of strict no-fly zones and of neighbours' privacy, Price said.
The worst-case scenario would be a drone colliding with a manned aircraft and causing a fatal crash.
"The consequences for other people can be quite significant, so it's important people know how they are operating and where they are operating these aircraft.
"A lot of people forget about the proximity to aerodromes. We have a lot of aerodromes, airports and heliports, especially near hospitals."
Drone users can use the Air Share app or visit the Authority's website to learn more about what they can and cannot do.
If a member of the public is concerned about another person's drone use, they can get in touch with the Civil Aviation Authority or the police if it is related to privacy.
Research undertaken by the CAA earlier this year found that a quarter of recreational drone users don't know the rules around where or when they can fly their device.
It also showed that 10 per cent of commercial drone flyers don't understand the rules.
Some of the rules include:
• Aircraft must not exceed 25kg and must always be safe to operate and well maintained
• Operators must take steps to minimise hazards to people, property and other aircraft
• Only fly during daylight, unless you are doing a shielded operation
• Give way to all crewed aircraft, eg planes, helicopters, hang gliders, and paragliders. Land your aircraft immediately if another aircraft approaches
• You must be able to see your unmanned aircraft with your own eyes at all times. Don't watch it through binoculars, a monitor or smartphone. Do not fly it behind objects or through or above fog and cloud
• Fly below 120 metres (400 feet) above ground level
• Get consent before flying over people and property.
• There are several no-fly zones - check for any airspace restrictions in your area before you fly.