Israeli Prime Minister Naftali Bennett said the Palestinian accusations had no solid basis.
UN Middle East envoy Tor Wennesland condemned the killing and called for "an immediate and full investigation." The U.S. and Arab League also called for an investigation.
The Arab League blamed "Israeli bullets" for the journalist's death.
Al Jazeera said that Abu Akleh, who came from East Jerusalem originally and had been working for Al Jazeera for over 20 years, was wearing a jacket clearly marked with the word "press" as she covered the raid.
Since late March, a wave of violence has seen 17 people killed in Israel.
Israel's army has intensified its operations in the occupied West Bank, especially in Jenin.
Also on Wednesday, the Palestinian Health Ministry said Israeli soldiers had shot and killed an 18-year-old Palestinian in the West Bank near Ramallah. The ministry did not provide any further details, and Israeli authorities did not comment.
Israeli military operations in the occupied territories often lead to serious confrontations with residents.