Based on her complaint, police registered a case against four persons, the official added.
Krishnamoorthi, 41, had criticised the "aggressive/ear shattering call" for 'azaan', saying she does not need public loudspeakers to remind her of God.
She called it a case of "imposed religiosity", describing the use of loudspeakers as "lowlife" and "dumb".
Her tweets were met with both praise and scorn. While some commended her for talking about the issue, others called her an attention-seeker.
More From This Section
"Based on her complaint, police registered a case under IPC sections 509 (word, gesture or act intended to insult the modesty of a woman) and 67 (a) (punishment for publishing or transmitting of material containing sexually explicit act), against four persons," a senior police official said.
The actress/singer had tweeted "Came home at 4.45 am 2 most aggressive/ear shattering call of azaan."
When a Twitter user posted that it was good to wake up at 'Brahma muhurta' (early morning) according to Hinduism, the actress replied, "I wake up at Brahmamuhurt of my own accord & do my prayers & riyaz & yoga. I don't need public loudspeakers to remind me of my God or my duty."
"But to be waking up entire neighbourhood at 5 am is not civilized," she had posted.