Its adviser Lim Kit Siang (pic) said Najib's blog post on Tuesday urged Malaysians to ignore reports made by instigators and extremists.
"So does this explain the criminal inaction and negligence by the police to uphold law and order?" Lim said today in a statement.
"After all, Najib's blog post said the best response to instigators and extremists was to ignore them instead of condemning or giving them attention."
In his article, Najib said the public should discourage the spreading of reports by extremist groups and organisations that tended to destroy the trust between races.
Najib said since the public knew what these extremist groups and organisations were wrong, then why should such views be shared online.
"If nobody reports on the actions of these extremist groups, they will not gain the recognition they want," Najib said.
Lim said Najib must be the first leader in the world to offer such advice to all and sundry, including the law enforcement agencies such as the police.
"To ignore flagrant breaches of the law by instigators and extremists who have been incessantly inciting racial and religious animosities.
"These irresponsible quarters have been trying to create racial chaos and discord through the spreading of lies and falsehoods."
Lim said if this was not Najib's intention, for the police to turn a blind eye to instigators and extremists, then he should immediately issue a clarification.
"Najib should declare that he wants all the law enforcement agencies in Malaysia to uphold the law and give no quarter to instigators and extremists."
Lim said Najib should immediately clarify his blog post and state that it is not a directive to bar enforcement agencies from taking action against extremist groups in Malaysia.
Lim also touched on the mystery of the National Reconciliation Plan (NRP) as nobody had ever heard about it until Najib blogged about the issue on Tuesday.
"Even the Minister in the Prime Minister's Department, Tan Sri Joseph Kurup, had ever breathed a word about the NRP.
"Bear in mind, Kurup is entrusted with the specific portfolio of national unity and integration," Lim said.
Therefore, it would appear that nobody else in the cabinet or Putrajaya knows anything about the NRP, apart from Najib.
Lim asked why Najib was treating the NRP just like a striptease show, unveiling one piece of clothing at a time, instead of making a full disclosure.
Lim said despite the opposition's various olive branch offerings to Barisan Nasional for a national consensus, there had been no reply by Putrajaya.
"In spite of PR's offer, the ruling government has yet to make a decision or even meet to discuss our invitation for a national consensus," Lim said.
Instead, there have been further incidents to raise racial and religious tensions, Lim said.
On Thursday, Seputeh MP Teresa Kok came under more criticism for her "Onederful Malaysia CNY 2014" video.
Jaringan Melayu Malaysia (JMM) Selangor gave Kok a 10-day ultimatum to apologise for the video or else they would mobilise a "battalion" against her.
JMM demanded an apology from Kok for insulting the Lahad Datu security forces with her video.
"The video made no mention whatsoever about the Lahad Datu incursion in March last year," Lim said. – February 28, 2014.
What utter rubbish! You chop a chicken head off and smear it on the pictures of the oppositions' leaders and you expect the papers not to report about it? You offer a RM2000 reward for slapping a lady and the media will ignore that news?
Is our PM living in the same world as all of us? Or has the pressure of his office pushed his mind into a different dimension?
Please lah Ah Jib Gor, don't talk like Big Chief $h!tting Bull lah. Just tell your people to stop all their nonsense and PDRM to do their duty and everything will cool down.
Just because you have a habit of always behaving like an ostritch, doesn't mean that all of us are going to bury our heads in the sand and hope the problems will disappear.
Life is not so simple, you know.