"They were charged on Thursday, 13 July: Mohammed Kamal Hussain, 28… was charged with support for a proscribed organisation under section 12 Terrorism Act 2000; two counts of encouragement of terrorism under section 1 Terrorism Act 2006 and acts in preparation of terrorism under section 5 Terrorism Act 2006," the statement said.
The second man, Mohammed Ashfaqur Hemel, aged 31, was charged with encouragement of terrorism, according to police.
Both men will appear before the Westminster Magistrates' Court on Friday, police said, adding that the third suspect arrested with the other two was released earlier in the day without charges.
Following a number of terror attacks perpetrated in the United Kingdom earlier this year, the country remains on a "severe" threat level for international terrorism, meaning an attack is highly likely.