There are lots of government jobs are available for the computer science engineering students. For government job you need to appear in the entrance examination of following government organizations:

ECIL(Electronics Corporation of India Ltd),

ONGC(Oil and Natural Gas Corporation),

DRDO(Defence Research and Development Organisation),

SAIL(Steel Authority of India Ltd),

HAL(Hindustan Aeronautics Ltd),

BHEL(Bharath Heavy Electronics Ltd),

BEL(Bharath Electronics Ltd),

GAIL(Gas Authority of India Ltd),

NTPC(National Thermal Power Corporation),

UPSC(Union Public Service Commission),

BSNL(Bharath Sanchar Nigam Ltd),

IOCL(Indian Oil Corporation Ltd),

HP(Hindustan Petroleum),

IBPS(Institute of Banking Personnel Selection),

Groups,

AFCAT(AirForce Common Admission Test),

RRB(Railway Recruitment Board),

SSC(Staff Selection Commission),

CBI(Central Bureau of Investigation),

CID(Criminal Investigation Department),

IAS(Indian Administrative Service),

IES(Indian Engineering Service),

IPS(Indian Police Service),

CDS(Combined Defence Service),

SBI(State Bank of India),

IB(Intelligence Bureau).