The team "Zaporozhalyuminstroy" was created in 1958 at the trust "Zaporozhalyuminstroy" by the playing coach Semyon Polonsky and dominated the regional championship. The colors of "ZAS" were defended by: Victor Budarin, Z. Aizen, Alexey Gusak, Vladimir Zolotarev, V. Meerson, A. Omelyanenko, Valery Stupak, Vladimir Chaika, Alexander Shirokov.
In 1962, Zaporozhalyuminstroy, together with Kyiv "Burevisnyk", formed a duet of Ukrainian clubs that made their debut in the first USSR handball championship.
USSR championship
1963 — the silver medalist of the USSR championship, champion of the CS DSO "Avangard", the first international match in Zaporizhzhia: "ZAS" — the youth team of Romania. Five players of the team were awarded the title "Master of Sports of the USSR", and their mentor Anatoly Muzykantov — the title "Honored Coach of the Ukrainian SSR".
1964 — silver medalist of the USSR championship, champion of Ukraine.
1965 — bronze medalist of the USSR championship, silver medalist of the Ukrainian championship.
1966 — silver medalist of the Ukrainian championship.
1967 — winner of the 31st Ukrainian Championship.
1968 — bronze medalist of the USSR championship.
1969 — silver medalist of the Ukrainian championship.
1970 — silver medalist of the Ukrainian championship.
1972 — silver medalist of the Ukrainian championship.
1973 — silver medalist of the Ukrainian championship.
1976 — champion of Ukraine.
1977 — silver medalist of the Ukrainian championship.
1978 — bronze medalist of the Ukrainian championship.
1980 — bronze medalist of the Ukrainian championship.
1981 — silver medalist of the Ukrainian championship.
1984 — bronze medalist of the Ukrainian championship.
Ukrainian championship
1997 — the team resumed performances in the championships of Ukraine under the new name "ZNTU—ZAS", represents the Zaporizhzhia National Technical University.
2002/2003 — Winner of small silver medals in the Ukrainian Championship among the teams of the major league "B".
2003/2004 — the winner of the Ukrainian championship among the top league teams.
2006/2007 — winner of the Ukrainian championship among the top league teams; winner of the Student League of Ukraine.
2007/2008 — debut in the Ukrainian Championship Superleague — 6th place.
2008/2009 — 4th place in the Ukrainian Championship among Super League teams, the right to participate in the Challenge Cup.
2009 — the handball club "ZNTU—ZAS" takes on the balance of Motor Sich OJSC, the team gets a new name "Motor—ZNTU—ZAS".
2009/2010 — 4th place in the Ukrainian Championship among Super League teams.
2010/2011 — 4th place in the Ukrainian Championship among Super League teams.[2]
2011/2012 — 2nd place in the Ukrainian Championship among Super League teams, bronze medalist of the National Cup
2012/2013 — 1st place in the Ukrainian Championship among Super League teams, winner of the National Cup
2013/2014 — 1st place in the Ukrainian Championship among Super League teams, silver in the National Cup, holder of the Belgazprombank Cup
2014/2015 — 1st place in the Ukrainian Championship among Super League teams, winner of the National Cup, winner of the Super Cup.
2015/2016 — 1st place in the Ukrainian Championship among Super League teams, winner of the National Cup, winner of the Super Cup.
2018/2019 — 1st place in the Ukrainian Championship among Super League teams, winner of the National Cup.