Referring to the use of technology, Modi said it can help in procedural management of courts and benefit the justice delivery system to a large extent.
"In addition, in the changing times, issues like data protection, cyber-crime pose new challenges for the judiciary," he said.
Referring to recent judicial verdicts by Indian courts, the PM said 1.3 billion Indians have "wholeheartedly" accepted them despite there being several apprehensions expressed about the consequences.
Speaking at the occasion, Chief Justice of India S A Bobde said India is a "melting pot of cultures" and has assimilated cultures of Mughals, Dutch, Portuguese and English.
"Constitution has created a strong and independent judiciary and we have strived to keep this basic feature intact," the CJI said.
Union Law Minister Ravi Shankar Prasad referred to apex court judgements and said terrorists and corrupt people have "no right to privacy" and such persons should not be allowed to abuse the system.
Prasad said governance must be left to elected representatives and delivering judgements should be left to judges.
He said populism should not infringe upon the settled principles of law.
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