Marchuk was a proponent of the Integrated Long-Term Programme (ILTP) of Cooperation in Science & Technology that was established in 1987 as a scientific cooperative venture between India and the Soviet Union. The programme allowed the scientists of the countries to collaboratively undertake research in areas as diverse as healthcare and lasers. Marchuk co-chaired the programme's Joint Council with Prof. C.N.R. Rao for 25 years and was made an honorary member of India's National Academy of Sciences. In 2002, the Government of India conferred the Padma Bhushan on him.
Keldysh Gold Medal — for his work "The development and creation of new methods of mathematical modeling" (1981)
Karpinski International Prize (1988)
Chebyshev Gold Medal — for outstanding performance in mathematics (1996)
Lomonosov Gold Medal (Moscow State University, 2004) - for his outstanding contribution to the creation of new models and methods for solving problems in the physics of nuclear reactors, the physics of the atmosphere and ocean, and immunology