The Inn River runs through Zams, which is situated in the river's basin together with its neighbour town Landeck. The geographical location is 47°28′N 10°22′E  . Here, the old roads coming from Vinschgau, Engadin, Bavaria, and Lake Constance cross. At the bridge over the Inn, tolls were demanded from trade wagons as early as the Middle Ages. The municipality comprises two villages, Zams and the much smaller Zammerberg.
Zams: Lötz, Rease, Oberdorf, Engere, Oberreit, Unterreit, Siedlung, Riefe
Zammerberg: Falterschein, Grist, Kronburg, Lahnbach, Rifenal, Schwaighof, Tatschhof, Anreit
Zams has been populated since pre-Christian times, though the first known use of the name (as "Zamis") is from 1150. While Zams has often enjoyed prosperity due to its location, it has also suffered disasters. In 1406 and 1703, Zams was sacked and partially burned. In 1584 and 1635, plague came to Zams, and a plague cemetery was created on the site of the hospital. In 1763, fire destroyed 42 houses and damaged the church tower. In 1911, another fire burned half the village to ash and destroyed much of the old man-made structures, leaving 54 families homeless. The tower remained, and the church was established about fifty meters away. The free-standing church tower is a notable feature of the town.
In 1812 the Merciful Sisters of St. Vincent de Paul established a hospital in Zams, their first in Austria.
The castle at Kronburg was built in 1380 and reconstructed after changing owners in 1504. It fell into disrepair and has been saved only through conservation efforts since the 1830s.
- Günther Platter (born 1954), mayor of Zams for 11 years, then advisor for culture and sports in Tirol. From 2003 to 2007 Platter was Austrian minister of defense and from 2007 to 2008 Austrian minister of the interior. As of July 1, 2008, he is Governor (Landeshauptmann) of Tyrol.
- Nikolaus Schuler (born 1756 in Fließ), founder of the monastery in Zams
- Johann Josef Netzer (born 1808 in Zams, died 1864), composer
- Franz Xaver Hauser (1924-1999), academic painter and sculptor, originally from Zammerberg
- Romed Mungenast (1953-2006), Yeniche writer
- Anna Zita Maria Stricker (born 1994), professional cyclist
- Mario Matt (born 1979), slalom skier, 2014 Olympic slalom champion
- Andreas Matt (born 1982), ski-cross racer, 2010 Olympic silver medallist
- Michael Matt (born 1993), slalom skier, 2018 Olympic bronze medallist
- Benjamin Parth (born 1988), award-winning chef
- Hansjörg Auer (1984–2019), mountaineer
While most other places in the Landeck district are shaped by tourism (especially winter tourism), in Zams handicraft, trade, and other services are major activities. About 5% of the population still practice agriculture, usually for supplementary income, particularly near Zammerberg.