In a phone call with Egyptian vice president for foreign affairs, Mr Hague stressed the need for dialogue and reconciliation between all political parties including Mr Morsi's Muslim Brotherhood.
The Foreign Secretary also condemned the excessive use of force by security services as well as attacks against them.
Mr Hague said: "We want to see a peaceful resolution that will bring an urgent end to the current bloodshed. In my view, this should involve a process of dialogue and reconciliation between all political parties in Egypt, including the Muslim Brotherhood.
"I also called for the release of all political detainees, including President Morsi, unless there are criminal charges to be made against them, and emphasised that it is vital that any charges are not politically motivated."
More top news
Clarke Carlisle "thinks about and prays for" the lorry driver he jumped in front of last year when he attempted to take his own life
The number of veterans seeking help for post traumatic stress disorder (PTSD) has risen by more than a quarter over the last year.
Plaid Cymru will today launch its election manifesto in Bangor ahead of the general election.