This paper surveys the problem of the astronomical growing demand of Internet Systems participating in the public network which has led to the depletion of allocated Internet Protocol version 4.0 (IPV4) addresses. Already, four out of the Regional Internet Registry (RIR) namely: ARNIC, RIPE, LACNIC and ARPIN have exhausted their allocated IPV4 addresses while the fifth AFRICNIC (Africa’s RIR) is reportedly depleted. We also examine the limitations of IPV4, the features of IPV6 and different modes of operating IPV6 standard. Findings shows that the current population of the world is over 6billion people with a projection of 9billion people by the year 2050 and IPV6 can conveniently accommodate 2128 devices. This paper also proposes the migration from the present Internet Protocol version 4.0 (IPV4) to a new Internet Protocol version 6.0 (IPV6) addresses. This research work has shown that deploying the IPV6 could only be the possible solution to sustaining Internet Services globally.