Police said all four devices were located in the same area where clothes worn by participants in a republican parade on Easter Monday were removed under the cover of umbrellas and burnt.
“The operation in the cemetery is now complete and police officers have left the scene,” a PSNI spokesperson said.
Assistant Chief Constable Bobby Singleton said the discovery of the devices in Derry was a “sinister and worrying” development.
“The actions of those responsible are reprehensible and show a complete disregard and utter contempt for the community,” he said.
“These suspected pipe bombs were left in a cemetery a place where people lay loved ones to rest and visit to pay their respects. That is absolutely shameful.”
Mr Singleton said the devices were made safe and taken away for further forensic examination. He said counter-terrorism officers would now lead an investigation.
The incendiary devices were thrown at an armoured police Land Rover in Creggan while officers attended what they described as an “unnotified” march by dissident republicans.
The vehicle, which was being used in the monitoring of the parade at the time of the Londonderry attack, was withdrawn from the scene and no one was reported injured.
The incident was condemned by political leaders in Northern Ireland, including Sinn Fein vice president Michelle O’Neill, who described the violent scenes as “deplorable”.
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