The two, aged 16 and 17, made the attempt over the weekend by consuming phenol and are now undergoing treatment in a hospital here, they said.
When contacted, authorities at the remand home said the two tried to take their lives due to internal feud between the children housed at the facility.
The duo was among several juveniles arrested by police in criminal cases and kept at the remand home.
Spotted: Virat Kohli, Anushka Sharma and other celebs at Mumbai airport
Photos: Salman Khan's 'special friend' Iulia Vantur at a song launch
Photos: Hrithik Roshan, Anushka Sharma, other celebs dazzle at event
In Pictures: Sex scandals involving Indian politicians
Photos: Abhishek Bachchan and Farah Khan at Boman Irani's birthday bash