The force has been in touch with the organisers and it has imposed conditions under the Public Order Act in relation to routes, assembly areas and start and finish times, to ensure disruption is minimised, it said.
The Palestine Solidarity Campaign (PSC), with demonstrators from five other groups, will gather in Whitehall at noon before going to the US embassy in Nine Elms Lane, south-west London, where speeches will be made.
The pro-Palestine march must set off by 1pm and stick to the designated route, and speeches must finish by 4pm, police said.
A pro-Palestine group says hundreds of thousands will join a protest in London on Saturday, as the Metropolitan Police prepare a “significant policing presence” to halt clashes with counter-demonstrators.
Scotland Yard said a “significant policing presence” is expected to be in place to ensure the groups do not physically come together.