Taming a budgie involves them learning to trust you and overcome any fear that they may have present about you. It can take weeks for them to develop this trust so be prepared to be patient, you must always be gentle and talk softly towards your budgie.
When taming a budgie always keep the television and radio switched off, they will only distract the birds attention. It is best to leave the taming to just one person, if the entire family gets involved then the budgie can quickly become confused and taming will be difficult. If you have more than one bird, they will be harder to tame than just one bird as they will always have more trust in their own species, a single bird sometimes looks upon you as if you are another bird or they even act as if they believe they are human. If you already own one tame budgie and want to get them a companion, it is a good idea to keep them separate and tame the new bird before it comes into contact with your current bird as they can quickly forget about you and all the attention goes to the new bird.
To tame a new arrival you should keep it in a separate room until it is tame and then gradually bring them closer to each other by putting the cages together, then letting them out to fly together but returning them to separate cages. Once you are happy that they will become friends then you can keep them in the same cage, and by then you should have 2 tame birds that can enjoy each others company as well as yours.