The team that won the Stockholm Masters men's doubles title in 2001 was the duo of Mark Knowles and Daniel Nestor. They defeated the team of Max Mirnyi and Michael Llodra in the final. This tournament was part of the ATP International Series and took place from October 22 to October 28, 2001, at the Kungliga tennishallen in Stockholm, Sweden.
For more detailed information, you can refer to the Wikipedia page on the 2001 If Stockholm Open.