The first-ever March for Science, which has been timed to coincide with Earth Day, is aimed at promoting action to protect the environment.
Organisers say it is also a celebration of science and a call to support and safeguard the scientific community.
The main event is due to take place later on Saturday in Washington DC.
The event's promoters said the march in the US capital was not aimed against President Donald Trump, while adding that his administration had "catalysed" the movement.
From climate change and pollution to medicine, men and women who support science have been motivated by the coverage of the recent Women's March and are mobilising to make their concerns heard.
Supporters of science took to streets in large numbers in Sydney, Australia
Demonstrators are rallying against what they see as a global political assault on facts
Protesters in Berlin, Germany, held placards in support of the scientific community
Organisers of the March for Science Vienna, in Austria, said on the group's Facebook page that it was encouraging people to turn out to join a movement that began shortly after Mr Trump entered the White House.
Mr Trump has previously called climate change a hoax and his views have raised concerns among the scientific community that the public are beginning to doubt the facts provided as scientific evidence.
Large crowds in the Austrian capital Vienna joined the worldwide protest
At the march in Geneva, Switzerland, it appears there was also support for defeated Trump rival Hillary Clinton
In London, scientists and science enthusiasts marched from the Science Museum to Parliament Square.
Many are protesting against what they see as the "alarming trend" among politicians for discrediting their research.
A large crowd of enthusiasts turned up at the Science Museum in central London
Thousands marched in London, from the Science Museum to Parliament Square
The aim of the March for Science is to bring scientists and their research closer to the general public.
Organisers have a view that it can be challenging for scientists to communicate with the public and are even encouraging scientists to become politicians so that their voices can be effectively heard.