The victims were identified as K Venkata Lakshmi (35) and A Appala Naidu (25) from Kodavatipudi, Kotavuratla police station sub-inspector J Ramesh said.
When Lakshmi's husband K J Babu came to know about their relationship, he entered into an altercation with both of them, the officer said.
Last night, the duo went to the farm and consumed poison which resulted into their death, Ramesh said.
According to him, Lakshmi who was married 15 years ago had two daughters and investigations into the matter are underway.