You could say that puritanism was a movement within the Calvinistic tradition, largely centered in England, and pietism was a resutant but more mystical movement within the Lutheran church, largely centered in the German states (including Prussia), with similar aims. You could also argue that the pietist movement, which looked upon the world as Satan's domain, was less likely to be involved with government than the puritan movement, which may have been true in Wuerttemberg but did not seem to be true in Prussia.
http://www.amazon.com/Piety-Politics-Absolutism-Wurttemberg-Cambridge/dp/0521256127
Or you could argue that, because of the similar aims, there was little difference between the two, with pietism being the continental counterpart of puritanism, an opinion expressed by no less of a major puritan figure than Cotton Mather.
http://books.google.com/books?id=YtHQakHBtf0C&pg=PA187&lpg=PA187&dq=puritanism+pietism&source=web&ots=I_H6OC6aXP&sig=upy7eGGXXf90io-pcrGc5zauc4U#PPA199,M1
(book "Max Weber: Critical Responses" by Bryan S. Turner, p. 199):
"Cotton Mather had recognized the close resemblance of these two Protestant movements, saying that 'ye American puritanism is so much of a piece with ye Frederician pietism' that they might be considered virtually identical."