Shane Overton, 38, a member of the English Defence League (EDL), was given the Criminal Anti-Social Behaviour Order, known as a Crasbo, at Doncaster Crown Court.
It bans him from going to any public meeting organised by the far-right EDL and from travelling by train.
Overton, a self-proclaimed local leader of the EDL, pleaded guilty to a racially aggravated public order offence, which happened at Doncaster train station as he returned from an EDL rally in Newcastle on May 29 last year.
He shouted racist and Islamophobic abuse at an Asian couple and their two young children as they waited on the station platform.
It is just the second time a Crasbo has been used against members of the EDL.
Acting detective inspector Simon Bromiley, of Lincolnshire Police, said: "We are extremely pleased with this result.
"We have worked closely with our national partners on this case and we are hopeful that utilising this kind of legislation will enable us to curb Overton's offending and tackle racism and Islamophobia in our community in the future."
Chief Inspector Tom Naughton, of British Transport Police, said: "Racist abuse of any sort is unacceptable, but the nature of Overton's insults levelled at a family minding their own business sitting on the platform were despicable.
"Everyone has the right to travel without fear of abuse or threatening behaviour and when that behaviour is further exacerbated by racist undertones, our stance becomes firmer still."
Overton, of Parker Avenue, off Brant Road, Lincoln, was given a football banning order along with 10 other people in 2001 after trouble at a Lincoln City v Hull City game.
The terms of his Crasbo prevent him travelling on any train or entering a railway station, participating in, organising or controlling an EDL event or from entering in to or loitering outside any mosque, Islamic prayer room, meeting room, school, cultural centre or festival site, or any site under development for these purposes.
DC Andy Haworth, of the National Domestic Extremism Unit, a national police unit which worked alongside the transport police and Lincolnshire Police, said: "It is only the second time a Crasbo of this nature has been granted to individuals participating in EDL demonstrations.
"It is widely anticipated other police forces will follow suit and apply for Crasbos to stop violent individuals from subverting otherwise legitimate, lawful protests.
"While the Defence Leagues is entitled to protest, violence has been a persistent feature of their demonstrations.
"On this occasion, an offence was committed while travelling from a demonstration."
Yvette Levy, the local CPS Criminal ASBO lead, said: "No one should be made to feel fear or concern for their safety purely because of the language they speak or the colour of their skin.
"Overton's victims were subjected to racially offensive language while patiently waiting for their train.
"The extreme views expressed by Overton caused two children to cling to their parents in fear."
Simon Cressy, of the anti-fascist magazine Searchlight, said: "Once again, we see the racist side of the EDL rearing its ugly head.
"Searchlight will be watching closely to make sure Overton stays away from future EDL events."
This is Lincolnshire
