The matter has been confirmed by The Ministry of Health (MOH) of the country.
The Ministry said in a statement: " Of these cases, 36 were identified through active testing of potentially infected persons."
"All the cases are residents or workers in the Aljunied Crescent/ Sims Drive area," it said.
"They are not known to have travelled to Zika-affected areas recently, and are thus likely to have been infected in Singapore," the Ministry said.
"This confirms that local transmission of Zika virus infection has taken place," it said.
34 have fully recovered.
The other 7, who are still symptomatic and potentially infectious, are recovering at Tan Tock Seng Hospital.