The 45-year-old actor was staying alone in her flat as her businessman husband was away in Malaysia.
When Rekha failed to respond to his calls last night, he alerted his friends who informed the police.
Police reached the spot and found her dead inside the flat.
Only a postmortem will reveal the exact cause of her death, police said.
Rekha was known for her roles in films like 'Udhyanapalakam' 'Ne Varuvolam' and 'Yathramozhi'.
She had acted in several television serials, including 'Mayamma'.