Krems an der Donau is a city in Lower Austria, Austria. With a population of 24,821, it is the 20th-largest city of Austria and fifth-largest of Lowe…Krems an der Donau is a city in Lower Austria, Austria. With a population of 24,821, it is the 20th-largest city of Austria and fifth-largest of Lower Austria. It is approximately 70 kilometres west of Vienna. Krems is a city with its own statute, and therefore it is both a municipality and a district.