************************************************************************* 61021 Several observations with ASCA and ROSAT have shown that protostars are emitting X-rays, sometimes at very high levels (Lx ~ 10^32 - 36 erg s- 1), either steadily or during flares. However, the detected protostars are relatively evolved (Class I), with ages ~ 10^5 yrs. We want to investigate whether younger protostars (Class 0), with ages ~ 10^4 yrs, are also X-ray emitters. The detection of X-rays from low-mass protostars has major implications on early stages of evolution of stars and the solar nebula. The main difficulty arises from the high extinction (Av > 70 mag) of these objects, but ASCA is well suited to overcome this difficulty with the extended energy range. We propose deep exposures (50 ks) of two star-forming regions with Class 0 sources, never observed so far in X-rays. *************************************************************************