My Honda Civic 2005 turns off randomly when driving without warming...

I have Honda Civic 2005 Vtec engine which is installed in 1987 Civic.... Everything is good to go.... After some days i have an issue in it... It turns off randomly when driving... Even the engine is still cold... The temperature gauge also showing that the needle is at C Point.... But the car is still turning off without warming... What could be the cause... After waiting like 5-10 Minutes... It starts up... but after some time, Same thing happened again... Any solutions, Ideas, Suggestion would be appreciated..