The incident took place yesterday afternoon when 15 employees were inside the factory of Excel Greentech.
Firemen took four hours to douse the fire. Later, six charred bodies were recovered from the spot.
District Magistrate N P Singh and Noida authority have both ordered separate probes into the incident.
"ADM Kumar Vineet will conduct a magisterial inquiry into the incident," District Magistrate NP Singh said.
Chief Executive Officer, Noida Amit Mohan Prasad said, "I have ordered a probe into the incident."
Chief Fire Officer Akshay Sharma said the unit had a biometric lock at the main door which prevented the trapped workers from moving out.
It is believed that the door also got automatically locked at the time of the fire, he said.
Three deceased have been identified so far, marketing manager Indrabhan Choudhary, accountant Vivek Kochhar accountant and HR manager Jasmeet Kaur.
Police informed that, DNA test of all the deceased's body would be conducted.
The company had shifted their office from Ghaziabad to this new building six months ago.
The survivors said the sprinklers installed at factory did not function. The fire is believed to have been caused by a short circuit.