Court officials in Rawalpindi said the hearing had been put off till Saturday.
It could not immediately be ascertained whether the judge was unwell or on leave.
Five prosecution witnesses had been expected to testify at Tuesday's hearing.
At the last hearing on September 15 too, three officials of the Federal Investigation Agency came to Adiala Jail, where the trial is being conducted, but were unable to testify.
Judge Chaudhry Habib-ur-Rehman of the Rawalpindi-based anti-terrorism court had also admitted an application from Lakhvi's counsel Khwaja Haris Ahmed that said all prosecution witnesses testifying on the same subject should be summoned during the same hearing.
The trial is being conducted behind closed doors at Adiala Jail in Rawalpindi for security reasons.
Pakistani authorities recently increased security at the prison after intelligence agencies reported that the Taliban could attack it to free militants being held there.
Interior Minister Rehman Malik recently said Pakistan plans to send a second judicial commission to India to cross-examine key witnesses in the Mumbai attacks case to speed up the prosecution of the seven Pakistani suspects.
The report of the first judicial commission that was sent to Mumbai to investigate the incident in March was rejected by the anti-terrorism court as members of the panel were not allowed to cross-examine the Indian witnesses.
Malik said the Pakistan government had requested its Indian counterpart to allow a second commission to visit Mumbai and was awaiting a response.
The seven suspects have been charged with planning, financing and facilitating the attacks.
Their trial has been stalled for over a year to due to a variety of technical reasons.
Image: A burning Taj Mahal Palace Hotel in Mumbai during the 26/11 terror attacks
Photograph: Arko Datta/Reuters
Pak court adjourns 26/11 hearing till Sep 25
Pak court told about VoIP connections used in 26/11
Musharraf asks Interpol to dismiss Pak's notice request
Pak blasphemy case: Christian girl moved to unknown place
Pak panel's second visit likely to delay 26/11 trial