The UK is also telling opposition forces they must observe human rights standards.
The extra practical support for the opposition will include more radio and satellite equipment, as well as portable power generators.
The Foreign Office says it will help protect activists from repression and help them overcome the Syrian government’s jamming and blocking techniques.
It said Britain has previously made £1.4m available in “non-lethal support to the political opposition”.
This has included providing training and assistance to human rights groups in Syria.
Funding totalling £27.5m is also being provided by Britain for humanitarian aid such as food, medical care and shelter in Syria, as well as for Syrian refugees who have fled to neighbouring countries. Some 800 of these also need assistance with water sanitation.
Mr Hague, writing in the Times, says it remains British policy not to send arms.
But he says the risk of not working with Syrians who want a democratic and open Syria is that the conflict will be hijacked by al-Qaeda and other extremists.
And the foreign secretary acknowledges that the risk of total disorder and a power vacuum in Syria is now so great that British contacts with what he calls “political elements” of the Syrian opposition need to be stepped up.