After his training as a policeman, the young, shy Köppe is transferred to a northern German town. Unfortunately, in an area where fox and rabbit say goodnight, there is little for a lawman to do. So Köppe kills time with the search for mysterious cow murderers, flirting with two attractive women and befriending a likeable petty crook.

In the 26th century the inhabitants of Utopia have so lost their individuality, which varies in number. They live in glass houses (this was written before the invention of television), which allows the political police, called “Keepers” can easily supervise them. They all wear the same uniform and usually turn to each other or as a ”cipher-so” or "UNIFEM" (uniform). They feed on artificial food and rest hour marching in fours in a row the anthem of the One State, pouring out of the loudspeakers. As they are allowed to put a break on the hour (known as the ”sexy time“), draw the curtains of their glass houses. At the head of the One State is one called The Benefactor, which are replaced every year the whole population, usually unanimously. The guiding principle of the State is that happiness and freedom are incompatible.