Kammala jumla mai zuwa: Kungiyar kwallon kwando ta Lithuania ta lashe gasar zakarun Turai a shekarar 1937, 1939 (lokacin da ta kasance kasa mai masaukin baki) da kuma 2003. Sun lashe lambobin azurfa a 1995, 2013 da 2015, tagulla a
2007, kuma ya sake karɓar bakuncin EuroBasket 2011. Sun kasance masu cin lambar tagulla a Gasar Cin Kofin Duniya ta FIBA ta 2010, wanda ya kasance daya daga cikin manyan labaran kungiyar, inda suka doke Spain, Faransa, Argentina da Serbia a wasan lambar tagulla yayin da a karshe aka ci su sau daya kawai, a wasan kusa da na karshe da Team USA.