The march has been organised by the Forum for Fast Justice.
As part of the yatra, two motorcades had left from Delhi on January 30 -- one from Kashmir to Kanyakumari and the other from Kutch to Kolkata.
The 'Yatra' will terminate at Jantar Mantar in Delhi on March 4.
The forum will hold its annual national convention in Delhi on March 5 and 6 that will be attended by delegates fromacross the country.
It would pass a resolution which will contain demands for fast tracking of judiciary, the forum members said.
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Kumar Jahgirdar, President of NGO called CRISP (Children's Rights Initiative For Shared Parenting), said the budget allocated to the judiciary should be increased and justice should be made time bound.
He said, "The budget allocated for judiciary is 0.2 per cent of our GDP; we are demanding the union government to make at least 2 per cent increase in the GDP so that more courts can be opened and more judges are appointed."
CRISP and National Litigant Bench are supporting and coordinating the Yatra's activities here.
The forum plans to submit a memorandum to the Chief Justice of Karnataka and the Governor.