Hassan Mutegombwa, 20, was charged with one count of procuring funds for terrorism while his brother Yassin Mutegombwa, 22, was charged with three counts of receiving training for terrorism, a new offence under Britain's terror act.
Yassin Mutegombwa was alleged to have received weapons training at a caravan and camp site in Hampshire and a farm in Berkshire, west of the UK capital, London's Metropolitan Police said in a statement.
Two other men, Musa Akmet, 47, and Mustafa Abdullah, 24, were charged with possessing information likely to be useful to someone committing terrorism.
Akmet was also charged with possessing a firearm, a 16mm mini flare launcher, without a valid licence.
The four men were among 14 people arrested following a series of raids on an Islamic school, a halal Chinese restaurant and several other locations on September 2.
Two other people have since been released without charge, while the remaining 10 are still in custody.
The raid came just three weeks after British police said they had thwarted a suspected plot to bring down US-bound airliners over the Atlantic Ocean.
However, police said the arrests were not linked to that suspected plot.