A company spokesman said the aircraft was flown for over two hours, primarily to test the operation of its engines and control system, adding that both had performed admirably.
The manufacturer said last month that the new aircraft, billed as "4++ generation using fifth-generation technology," would enter service with the Russian Air Force in two to three years.
The Su-35, powered by two AL-37F engines, combines high maneuverability and the capability to effectively engage air targets using both guided and unguided missiles and weapon systems.
The Su-35 prototype made its maiden flight on February 18, and two more aircraft are being prepared for similar tests at an aircraft manufacturing plant in Russia's Far East.
Sukhoi, which is part of Russia's United Aircraft Corporation, is planning to export over 40 combat aircraft in 2008.
In 2007, Sukhoi exported about 50 Su-30MK2, Su-30MKM and Su-30MKI aircraft, including to Algeria, India, Malaysia, Indonesia and Venezuela.
The company also announced that its 2007 sales had grossed over 50 billion rubles ($2 billion).