It's from Nietzsche's The Other Side of Good and Evil.
The original English version of this sentence is: What does not kill me, makes me strong.
The direct translation is: What can't kill me will only make me stronger. What can't destroy me will make me strong.
The Other Side of Good and Evil was written in the summer of 1885 and completed in the following winter. It is one of Nietzsche's most important contributions to a new moral system, and touches many of the deepest principles of his philosophy.
Extended information
About Nietzsche:
Nietzsche, whose full name is Friedrich Wilhelm Nietzsche, is a famous German philosopher, linguist, cultural critic, poet, composer and thinker, and is regarded as the pioneer of modern western philosophy.
His works have made extensive criticisms and discussions on religion, morality, modern culture, philosophy and science. He has a great influence on the development of later generations' philosophy, especially on existentialism and postmodernism.
Nietzsche was a philologist before he began to study philosophy. At the age of 24, Nietzsche became a German-speaking professor of classical Chinese in university of basel, specializing in ancient Greek and Latin literature.
But he resigned in 1879 due to health problems, and has been suffering from mental illness ever since. Nietzsche had a nervous breakdown in 1889 and never recovered. He lived under the care of his mother and sister until his death in 19.
Baidu encyclopedia-Friedrich Wilhelm Nietzsche