Armenian armed forces opened fire at Azerbaijani armed forces from the positions near Shikhlar village in the Agdam region, Kuropatkino village in the Khojavand region, Gulistan village in the Goranboy region and nameless heights, the Azerbaijani Defense Ministry said on Tuesday.
The shooting was countered by return fire.
The conflict between the two South Caucasus countries began in 1988 when Armenia made territorial claims against Azerbaijan.
Armenian armed forces have occupied 20 per cent of Azerbaijan since 1992, including the Nagorno-Karabakh region and seven surrounding districts.
Azerbaijan and Armenia signed a ceasefire agreement in 1994. The co-chairs of the OSCE Minsk Group, Russia, France and the U.S. are currently holding peace negotiations.
Armenia has not yet implemented the U.N. Security Council's four resolutions on the liberation of the Nagorno-Karabakh and the surrounding regions.