The network said that when the Scottish Government launched the Community Empowerment Action Plan in March, it promised that it would promote the benefits of a thriving community sector and would encourage local and central government to move power to small, local groups.
But Angus Hardie, director of LPL, said there had been "little in the way of action" since.
"We feel that this has been announced with a fanfare and then left to drift," he said. "The Scottish Government isn't living up to its promises."
He said the action plan had acknowledged that "top-down approaches" were not effective at providing community regeneration, and that any drive to improve community infrastructure needed to be led by small, grass-roots organisations.
"But old habits die hard," he said. "The Government is still funding top-down initiatives."