The one-off Channel 4 show, by playwright James Graham, will be set in the days following the 2010 election where backroom deals were cut to create the country's first coalition government in decades.
Graham, whose National Theatre play This House was set in the dying days of James Callaghan's Labour government, said: "In May 2010, British politics was faced with a dilemma it hadn't had to face in peacetime for over 75 years.The public were asked 'Who should govern?', and they came back with the answer 'We don't know'.
"Those historic, dramatic few days put personalities at the heart of politics - and the choices made, I believe, changed the face of British politics forever.
"What we try to capture in this drama is the tension, the high stakes, and the frequent farcical and absurd nature of what happens when a power is wrangled, negotiated and fought over like children trading cards in the playground."
The 90-minute film, with the working title Coalition, is the latest in a string of political dramas on the channel including the Bafta-winning Mo about Mo Mowlam and The Deal, which starred Michael Sheen and David Morrissey as Tony Blair and Gordon Brown.
The channel is also making a 10-part spy drama - called Opposite Number - about agents fighting a secret war in the closed world of North Korea.
Its writer, Matt Charman, said: "North Korea is one of the last truly impenetrable nations on the planet, and one of the most dangerous for the West. I wanted to write a drama that could blow the lid off our understanding of who we think the North Korean people are and what their government truly wants."