My Hyundai Verna/Accent handbrake light comes on when driving and just off in shortly times
Any ideas to what might be causing this, if so what parts will need to be replaced/repaired?
The brake light in the dash can come on if your brake reservoir is below where it should be. Check this, but before you do, double check to see if you need brakes. If you just pour brake fluid into your reservoir and need your brake pads replaced, you'll make a mess as you'll have too much fluid in.
If you do need brake fluid, clean off the cap of the reservoir with a clean rag, take it off, and read what it says. It will probably say to use DOT3 brake fluid which can easily be found at most parts stores. Fill the reservoir up to the line which should be seen on the side.
If your reservoir is low and you don't need new brakes, you may have a leak somewhere. Check your calipers/wheel cylinders for any leakage.
If the reservoir is not low, some vehicles will indicate with the brake light being on if you have a tail light which is out.