In a letter to the chief constable, Mr Kennedy said: “I need to be clear that the formal withdrawal of good-will is not an action the JCC [Joint Central Committee of the SPF] has endorsed lightly.
“It is borne from sheer disappointment and the strength of feeling of our members for the utter contempt this pay offer represents to them.
“Police officers feel totally undervalued by the service, and that has been apparent from the surveys that have taken place in the last six months from both Police Scotland and the SPF.”
Scottish Conservatives justice spokesman Liam Kerr said the decision showed that relations between the Scottish government and police officers had “hit rock bottom.”
He added: “Given that they cannot legally go on strike, it is the most powerful step they can take to show how angry they are…
“This should be an urgent wake-up call for SNP ministers to stop treating police officers with such contempt.”