More than 30,000 war veterans get 170 euros per month but are not included in the draft law.
They forced their way into the yard of the parliament building despite the tear gas. They also tried to enter the hall but were kept at bay by a police cordon.
The Kosovapress news portal said that at least one police officer was injured in the clashes.
Kosovo’s 1998-1999 fight to break away from Serbia was led by the Kosovo Liberation Army, whose main leaders are now being tried at a European Union-backed war crimes court in The Hague, Netherlands.
More than 13,000 people, mostly ethnic Albanians, died during the war before a NATO bombing campaign forced Serbia to pull its troops out of the country and to cede control to the United Nations and NATO. Kosovo declared its independence from Serbia in 2008, recognized by the United States and most of the West, but not by Serbia and its allies Russia and China.
Last month The Hague court sentenced two leaders of the Kosovo war veterans’ association to 4 1/2 years in prison for witness intimidation and obstructing justice by publicizing leaked confidential documents “pertaining to the investigations and internal work” of the prosecutors.