Charlie Webster, 33, who has worked for Sky and ITV, became unwell after watching the Olympic opening ceremony.
She was taken to hospital where she was diagnosed with a rare strain of the disease.
Webster, from Sheffield, is in a stable but serious condition at St James`s Hospital in Leeds.
In a statement she thanked the public for their support and said doctors in Brazil had saved her life.
She added: "The last few weeks have been hell and I`m just so thankful to be here."
The presenter was admitted to hospital after becoming unwell while watching the opening ceremony of the Olympic Games on 6 August.
Doctors initially believed she was dehydrated after completing a 3,000-mile charity cycle ride to the Brazilian city.
But her condition deteriorated and she fell unconscious before being placed in a coma.
Specialists are now trying to find out where she may have caught the disease.
TV host Charlie Webster back in UK after malaria coma
31 August 2016
Read: 1220
A television sports presenter who was placed in a coma after contracting malaria in Rio has arrived back in the UK.
