Can I transfer my EP holder to a subsidiary company without making new application?

No.

Your subsidiary company needs to apply for a new Employment Pass for the EP holder.

If an Employment pass holder is transferred to a related company:

Who does this: Current employer

An Employment Pass holder can be transferred to a related company (e.g. subsidiary or parent company). You can get this done by following the steps below.

Get the related company to apply for a new Employment Pass for the employee. The related company doesn’t need to advertise on MyCareersFuture beforehand.

Cancel the existing Employment Pass when the employment ends. Cancellation must be done before the new employer requests to issue the new Employment Pass.

If you are transferring Employment Pass holders because two companies are undergoing full merger, acquisition or amalgamation, you should change your business entity instead.