An apparatus and method for supporting a precision time synchronization protocol of a stealth clock type are provided. The method may be performed by a stealth clock follower device and may include transmitting a sync message received from a neighbor device to an end-follower device, receiving a delay-request message from the end-follower device, and updating a residence time in a correction field of the received delay-request message. The method may also include transmitting the updated delay-request message to a leader device, receiving a delay-response message from the leader device, and performing time synchronization based on a time of the leader device by using an ingress time of the sync message, an egress time of the updated delay-request message, and time information contained in the sync message and the delay response-message. The method may further include transmitting the delay-response message to the end-follower device for time-synchronization.