"Union government has spent Rs 5,000 crore for the purpose (fast track courts) but failed to get desired results," Kumar told reporters here after paying obeisance at the Golden Temple.
"Now the government is looking for an alternative way out of the fast tracks courts and is consulting the issue with the state government," the minister said.
Talking about the Gram Nyaylayas Act 2008, he said the courts were set up on block levels for speedy disposal of cases, yet more efforts were needed to set them in all the states.
Kumar said he had already written to chief ministers of all the states to set up block level courts under Gram Nayalaya's Act 2008, besides asking the Chief Justice's of the High Courts to ensure speedy and cheap justice at block levels.
When asked about capital punishment, the law minister said that as far as his personal views are concerned he is not in favour of capital punishment.
He told reporters that as per his personal view, he didn't favour capital punishment in India, but being a law minister he would like to say that it should be exercised in rare of the rarest case or in hardcore crime otherwise it should be avoided.
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Talking about the recent murder of ASI Raivdnerpal Singh, Kumar said the state government should do all possible to deliver justice to the family of the slain officer.
"If the state government failed in its duty then Congress would come on road to ensure justice for the family of the ASI," Kumar said.
The state government should perform its "Raj Dharma" with full accountability, he said.
However, Kumar ruled out the intervention of Union government in Punjab saying, "law and order issues were purely state subject and Centre would not interfere unless asked".