Albrecht Friedrich Weber (17 February 1825 – 30 November 1901) was a German Indologist and historian.
He was born in Breslau, where his father was a Professor of Political Economy. He studied in that town, Bonn, and in Berlin, 1842-1845, busying himself especially with literature and Sanskrit archaeology. He received a doctor's degree at Breslau. In 1846, he visited England and France in connection with his studies. On his return to Germany, he went to the University of Berlin, where he was privatdocent, and in 1856 became an Adjunct Professor of the Language and Literature of Ancient India. In 1867 he was made full professor. He was a member of the Academy of Sciences of Berlin, and was the author of many books and periodical contributions on classical subjects. He was a close friend of Max Müller.
He also contributed much lexicographical material, especially from Vedic literature, to the Sanskrit-Wörterbuch of Otto von Böhtlingk and Rudolf Roth.