The pre-trial investigation will be carried out by the Lithuanian Criminal Police Bureau which has taken over from the Vilnius County Chief Police Commissariat.
Officers have asked people to share their videos possibly capturing relevant data and send it via the e-police platform.
Police Commissioner General Arūnas Paulauskas said the crash site would be inspected for two or three more days, with drones flying over the location. Any further steps will be agreed with aviation experts, he added.
The wreckage of the aircraft will be removed later, and officials are now looking for a hangar to store them in, he said.
A Boeing 737 flying from the eastern German city of Leipzig crashed on early Monday about one kilometre away from Vilnius Airport, just next to a residential house No 5 on Žirnių Street. A Spanish pilot was killed, three crew members were hospitalised.
The plane belonged to Spanish airline Swiftair and was contracted by German logistics firm DHL.
Prosecutors have opened a pre-trial investigation into improper maintenance or repair of vehicles or equipment and into violation of international flight rules.