After completing B.E. you can try for various jobs in government as well as in Private sector. To get government job you need to appear in the entrance examination of following government organizations according to eligibility condition:

Madras Fertilizers Limited
Airports Authority of India
Scooters India
Mineral Exploration Corporation
Coastal Tamil Nadu Power
Hooghly Printing Company
Bharat Pumps & Compressors
Rashtriya Chemicals & Fertilizers
Tehri Hydro Development Corporation
Sponge Iron India
State Trading Corporation of India
HMT Watches Limited
Hindustan Copper Limited
NTPC Vidyut Vyapar Nigam
National Safai Karamcharis Finance and Development Corporation
Bharat Immunologicals and Biologicals Corporation
India Tourism Development Corporation
Nationalised Banks
Garden Reach Shipbuilders & Engineers
Mumbai Railway Vikas Corporation
Bridge and Roof Company
Tamil Nadu Trade Promotion Organisation
Numaligarh Refinary
HSCC
Coastal Karnataka Power
Western Coalfields
Central Cottage Industries Emporium
HMT (International) Limited
Brahmaputra Valley Fertilizer Corporation
Fertilizer Corporation of India Limited
Vignyan Industries
Hindustan Steelworks Construction Limited
Security Printing and Minting Corporation of India Limited
NTPC Hydro
Power Grid Corporation of India
Cement Corporation of India
Bokaro Kodarma Maithon Transmission Company

Selection procedure:
The Selection Procedure has following stages:
Written Test
Group Discussion
Technical Interview
Personal Interview