Elephantiasis, the painful and disfiguring disease affecting more than 100 million people worldwide, could be wiped out by 2020, experts believe.
Lymphatic filariasis (LF), often called elephantiasis, is caused by parasitic worms and causes grotesque swelling of the limbs, breasts and genitals.
A World Health Organisation-sponsored drive has delivered 1.9 billion doses of a simple cure since 2000.
Pharmaceutical firms have offered drugs free, keeping costs minimal. The success of the programme was highlighted in a paper in the Public Library of Science Neglected Tropical Diseases journal.
The Global Programme to Eliminate LF has so far prevented an estimated 6.6 million children from catching the condition, and stopped it from progressing in another 9.5 million people who already have it.
It is thought to be the most rapidly expanding drug administration programme in public health history.
Professor David Molyneux, from the Liverpool School of Hygiene and Tropical Medicine, and the Executive Secretary of the campaign, said that the success of the project was "staggering".
"In some countries we are talking about costs of five pence per person, per year.
"We are reaching hundreds of millions of the world's poorest people, and it's the additional benefits these drugs bring which are really important.
"I think that compared to most other public health programmes, it's going remarkably well."
Dr Mwele Malecela, who chairs the programme, said: "We are on track to accomplish our goal of elimination by 2020.