Hi Andrea I would probably say have a party or throw a party. If you are arranging a party for someone else you might say you were giving a party.However you could also use have or throw!! Wouldn't say do or make. However party is the important word that everyone will understand! Enjoy! Cheers Ennis

'To make a party' is perfectly acceptable but polite, old fashioned and it means something subtly different. It means coming together as a group to do something; as in 'I met some friends and we decided to make a party for an adventure' or 'The Jones family and the Smiths made a party for a picnic'. It isn't used to hold a party as an event. There you go; there's another one: 'To hold a party'. This infers you are the host. You can also 'host a party'.

Throw a party is the one I hear the most.

"give a party", "have a party", "throw a party" all mean YOU are the one responsible for the party (you arranged it). "Do a party", or "make a party" would not be used as much, they sound a bit unnatural, though they essentially mean the same thing.