Chaotic scenes as pair are chased down and pepper sprayed outside Supreme Court In Melbourne CBD

Two people who were kicked out of court and allegedly proceeded to assault protective service officers have been arrested following a chase in Melbourne's busy legal district.

A 36-year-old man and 25-year-old woman, both from South Yarra, were arrested after they allegedly assaulted the officers outside the Supreme Court on William St in Melbourne's CBD at about 12.45pm on Thursday.

It is understood the pair had been removed from court for being disruptive before they allegedly assaulted the officers and attempted to run away. 

Police proceeded to chase after the man and woman and there was a second confrontation where the pair 'lashed out at officers', a Victoria Police spokesperson said.

Pepper spray was deployed before the pair were arrested.

'The PSOs were not injured during the incident,' the Victoria Police spokesperson confirmed.

The man and woman are assisting investigators with their enquiries.

NCA NewsWire understands the man was running along William St, before he was chased up the stairs at the Supreme Court of Victoria's entrance, where he was caught.

After he was pepper sprayed, the man was seen sitting on the ground in front of the Supreme Court with his eyes closed, grimacing.

He was given water and paramedics could be seen briefly checking over him.

He was marched down the steps by multiple police officers and taken away in the back of a police van.