The charity, which raises money for the National Hospital for Neurology and Neurosurgery in London, said it needed a name that more accurately reflected its work.
Theresa Dauncey, chief executive of the charity, said: "The growth of the internet since we were founded more than a quarter of a century ago has made it important that charities have a name that can be searched for easily."
She said the rebrand cost roughly £15,000; the design cost about £10,000, and promotion and the new website, which goes live on 3 March, totalled £5,000.
Dauncey said: "We are looking to expand. The relaunch will increase the charity's appeal to the corporate sector, as our relevance will be clearer."
The relaunch will coincide with the opening of the UK's first dedicated brain tumour unit, located at the hospital. The charity raised £2.5m towards the unit.