The panel, which was set up to investigate illicit gains, would question Gamal about "complaints brought against him that he inflated his wealth" illegally, the daily reported.
Gamal, Mubarak's younger son, held a senior position in the ruling party and was believed to have had presidential ambitions, which he denied.
The widely held belief that his father would appoint Gamal as his successor helped galvanise opposition to the former president, who was forced to step down in February after 18 days of protests.
Although Mubarak's resignation was the protesters' main demand, demonstrations have continued to press for the trial of him and former regime officials.
The former president, under house arrest in the Red Sea resort of Sharm el-Sheikh, faces a financial investigation by a military-appointed panel, the official MENA news agency reported on Tuesday.
Mubarak, his wife Suzanne, his two sons Alaa and Gamal and their wives have already been banned from travel and their assets ordered frozen by general prosecutor Abdel Magid Mahmud.
The judiciary has also banned several ministers, officials and members of Mubarak's National Democratic Party from leaving the country pending further investigations.
A number of them are currently on trial on charges of corruption.
The latest arrest was of Mohammed Ibrahim Suleiman, who was a housing minister until 2005. Judicial sources said on Wednesday Suleiman was arrested in his home on charges of misusing public funds.
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