Amar Hussain, 29, was involved in a hoax 999 call claiming an officer would be kidnapped by a radical Muslim with links to so-called Islamic State.
The call led to West Midlands Police putting in "unprecedented" measures to check officers' safety, jurors heard.
At Stafford Crown Court, two other men were convicted of the same charges.
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Hussain, along with civilians Adil Bashir, 26, and Muhammad Ali Sheikh, 31, were all found guilty of two counts of perverting the course of justice.
Judge Michael Chambers QC said Hussain, of Yardley, Birmingham, was guilty of a "vast breach of trust".
All three defendants were remanded in custody and are due to be sentenced on 27 May.
During the trial, the prosecution told the court how all police on the West Midlands force had to call to report getting home safely due to the threat made on 8 December 2014.
Jurors heard Hussain hoped his fake tip-off would discredit an official within the Islamic community group Dawat-e-Islami.
Assistant Chief Constable Marcus Beale, from West Midlands Police, said Hussain's actions "let down" the force and risked losing the public's trust.
"The impact of the threat had a huge effect on officers and staff and in turn on their loved ones," he said.
"Never before have we had to instruct officers and staff to call in after their tour of duty to let us know they had returned home safely."

The Edinburgh stands with Orlando event follows the death of 49 people at the gay club pulse.
A total of about 300 people were in the Florida nightclub when the attack started. A further 50 of them were injured
It was the worst mass shooting in US history.
First Minister Nicola Sturgeon, Scottish Tory leader Ruth Davidson and Scottish Labour leader Kezia Dugdale were among those in attending.
Ms Sturgeon said: " "I can't tell you how important it is to me to be with you here this evening. The last few days have been horrific and heartbreaking beyond words but it has also been inspiring.
"All across the world we have seen people come together in solidarity and that is the comfort I hope all of you and members of the LGBTI community across the world take from such expressions.
"We stand here in defiance of hate with a very clear message - love is love."
Ms Davidson said: ""As a woman who moved to Edinburgh to be herself, I know how important LGBTI venues are for people who want to be themselves.
"We stand in Edinburgh in a place where we feel safe and stand in solidarity with people around the world.
"We will become stronger because we have stood here tonight, because we have shown those people that would conduct hate upon our community thay they will not win because love wins, love always win."

Scott, 23, joined the Royals' academy aged eight and helped Kelly Chambers' side maintain their top-flight status last term, following promotion in 2015.
"I am absolutely delighted to have signed a new deal with my childhood club," Scott told the club website.
Manager Chambers added: "Her work ethic and tenacity adds a great dimension to our defence."
A PC who falsely claimed a fellow officer was going to be kidnapped by terrorists has been convicted of perverting the course of justice.
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Hundreds of people have gathered in Edinburgh's St Andrew Square to pay their respects to the victims of the mass shooting in Orlando.
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Reading Women defender Harriet Scott has signed a new deal with the Women's Super League One club until 2018.