The assessment of present shielding of the Egyptian first research reactor ( ET-RR-1) in case of power upgrading from 2MW to 10 MW is presented and discussed in this investigation. It was carried out for the present EK-10 type fuel elements with 10% enrichment. The shielding requirements for the ET-RR-1 ( which is the Egyptian WWR-C reactor ) when its power is upgraded to different power levels are also discussed. The optimization curves between the upgraded reactor power and the shield thickness for the seven neutron energy groups are presented and analyzed. The calculations have been made using the ANISN code with the DLC-75 data library. The results showed that the present shield necessitates an additional layer of steel with thickness of 10, 20 and 25 cm. when its power is upgraded to 3, 6 and 10 MWt in order to cut-off all neutron energy groups to be adequately safe under normal operating conditions. It should be noted that for paper size limitation,this work is confined only to the assessment of ET-RR-1 shielding against neutrons while such assessment against gamma radiation will be published in another work.