Some of the BJP supporters tried to break barricades near Imtiaz Khan Marg, just 200 metres from the Parliament House, but were prevented by police.
Police arrested a number of protesters, including Delhi BJP Chief Vijay Goel, but later released them. The protesters started the march from Talkatora stadium.
Demonstrations were also held at AIIMS where the girl is undergoing treatment and outside the Gandhi Nagar police station where policemen allegedly showed laxity in dealing with the case.