Is private ltd company liable for tds deduction under gst?

No, private companies not required to take registration and deduct TDS under GST

Thank you so much Sir

A department or an establishment of the Central Government or State Government; or
Local authority; or
Governmental agencies; or
Such persons or category of persons as may be notified by the Government.
As per the latest Notification, the following entities also need to deduct TDS-

An authority or a board or any other body which has been set up by Parliament or a State Legislature or by a government, with 51% equity ( control) owned by the government.
A society established by the Central or any State Government or a Local Authority and the society is registered under the Societies Registration Act, 1860.
Public sector undertakings.

Hence pvt ltd co. is not liable to ded. TDS

Thank you so much Sir

Neither private nor deemed public limited companies are required to do TDS under GST Act as of now