The answer is highly dependant on various things.
Tradition (Or Culture) the Curse came from
Whether you cast the curse or were cursed
What objects were used in said curse
If any entities were called in to assist with the curse.
Every spell is individual, say if you were 'tudded' which is a term for Cursing relevant to the West Country in England, then the curse removal would have to be from the same belief, it's like the removal of negative spirits - you need to use a method that is specific to them, can't 'fling' bible passages at a Yokai - the Spirit does not adhere to those words.
But generally the best all round method is cleansing, cleaning out any negativity in the place. Other practitioners would suggest to just ignore it.
However if you were the Curser, you would have to work the Curse specific to what you do. Also if the curse had particular objects used with it (Such as needles left in the victims clothing or other possessions) you would need to destroy the source of the charm to remove the Curse from the victim. And vice versa if you discovered someone cursed you and left the charms around.
I recommend the book 'Protection and Reversal Magic (Beyond 101) - Jason Miller' as a good source to start with when it comes to removing hexes, curses etc.