The MR02 will be raced by Max Chilton and a yet to be named second driver.
Marussia finished eleventh in 2012, ahead only of the now defunct HRT.
The MR02 is an evolution of the 2012 car but now features KERS.
"We embark on the first pre-season test of 2013 feeling very positive about our new car - the MR02 - and what lies ahead in this next important chapter in the development of the Marussia F1 Team," said team principal John Booth. "Whilst we have experienced some changes over the winter, the one area of stability we have enjoyed is the one that is most important to our progression from here, the design of our 2013 race car, led by our Technical Director Pat Symonds. The incremental steps we were taking in the latter half of last season gave us the confidence to not only fight hard for 10th place in the Constructors’ Championship, but to feel encouraged by our overall design direction."