At least 100 activists, wearing yellow vests similar to those in France marched through Westminster towards Trafalgar Square.
"Three men were arrested on suspicion of public order offences… A 13-year-old girl was also arrested on suspicion of assault on police", a Metropolitan Police spokesman stated.
Various videos showed protesters using smoke bombs and confronting the police.
According to media reports, the clashes led to traffic delays in Westminster and in the direction of Regent Street and Piccadilly Circus.
In the meantime, the rallies in France have turned violent, with demonstrators clashing with French police on footbridges crossing the River Seine.