In a statement, the authority insisted athletes, participants and spectators would all be safe to travel to Brazil for the sporting events which are due to begin in Rio later this year.
It cited a University of Cambridge study, which estimated that less than one case of the virus would be contracted among 500,000 international visitors.
The Brazilian tourist board, Embratur, has calculated between 300,000 to half a million foreign guests will arrive in Brazil for the Olympics.
The Ministry of Health also noted that out of the 60 countries in which Zika is currently present, Brazil represents only 15% of the total global population exposed to the virus.
It also stressed that as the games will be taking place during Brazil’s winter, the spread of disease will be seasonally low.
“We would also like to remind all that the period during the Olympic Games will actually be winter in Brazil, when historically the transmission of diseases hosted by the Aedes aegypti [mosquito], as is the case of Zika, reach their lowest level,” a spokesperson said.
“Between February and May this year, cases have fallen 87%. There is therefore no evidence or reason to cancel travel or participation in the competitions.”
Earlier this month Embratur said it had seen “no reason” to postpone or cancel the competitions despite Zika fears continuing to mar the build-up.
The board added that in accordance with a speech made by the World Health Organisation on May 28, “delaying the Games does not alter the spread of the virus, which is already circulating in 60 countries and territories. Therefore, there is no reason to change the Games in Rio.”