No casualties were reported in both incidents.
Officers of the Special Branch and Forensics Agency will also be part of the team. The police officials are investigating whether it was a targeted attack or aerial firing.
Another bullet was recovered from the garage of the house.
Police believe the shots were fired from roofs of surrounding houses and not the street in front of the house. It added that a search operation has been conducted on the probable direction of the bullet trajectory. There were no reports of anyone receiving injuries as a result of the firing.
Following the incident, Chief Justice of Pakistan (CJP) Mian Saqib Nisar visited the residence of Justice Ahsan and called Punjab Inspector General of Police (IGP) Arif Nawaz Khan to probe the incidents.
Meanwhile, the legal community announced to wear black armbands in protest on Monday.
"Intimidation of judges is an unpardonable act and those involved directly and indirectly in the firing incidents on the residence of Justice Ijazul Ahsan should not go scot-free and deserve exemplary punishment", he said in a statement.
Media wing of the armed forces, Inter Services Public Relations (ISPR) condemned the incident and said the relevant stakeholders should ensure protection of state institutions.
Pakistan Tehreek-e-Insaf (PTI) voicing concerns over firing on residence of Supreme Court (SC) Judge, Justice Ijazul Ahsan in Lahore has demanded of the Chief Minister (CM) Punjab to step down.
"The Prime Minister directed the concerned authorities at the federal and provincial level to bring the culprits to task at the earliest". His government called for immediate action to be taken.
The top leadership of Pakistan People's Party (PPP), including former president Asif Ali Zardari, Bilawal Bhutto and Faryal Talpur, also released the statements of condemnation over the attack.
The cowardly gun attack on the house of Supreme Court's Justice Ijaz-ul-Hassan raked in support for the judge from Pakistan's politicians and army on Sunday.
Further, Justice Ahsan often spends his weekends in Lahore, where he, along with the chief justice, presides several cases related to public welfare in Supreme Court's Lahore registry.
Justice Ijaz-ul-Ahsan was part of the five-member bench that disqualified former Pakistan Prime Minister Nawaz Sharif after he was found guilty of laundering money post the Panama Papers leak.
He has also remained the chief justice of the Lahore High Court.