From the radar and military research world’s, the Ultra-WideBand Impulse Radio (UWB-IR) was adopted in the telecommunications world in the 1990’. Currently, the UWB-IR technology is an interesting candidate for close range Wireless Sensors Networks (WSNs). It is particularly attractive for industrial sensor networks due to its resilience to multipath interference, simple transceiver circuitry, accurate ranging ability, and low transmission power. In order to secure data and communications in the Ad-Hoc UWB-IR networks, UWB-IR requires suitable encryption protocols. In this paper, we review and summarize the IEEE 802.15.4 security sub-layer protocol of UWB-IR based Symmetric Key Cryptography scheme. Then, we highlight the different vulnerabilities and weaknesses present in this type of scheme. Finally, we prove, after a deep examination of multiple Public Key Cryptography (PKC) schemes, that the certificateless one is the most suitable for Ad-Hoc UWB-IR networks characterized by nodes mobility. Indeed, we have also evaluated and analyzed the different public key cryptosystems (PKCS) and concluded that NTRU is the most optimum public key cryptosystem to be used with the certificateless scheme in order to secure data and communications in Ad-Hoc UWB-IR Networks. This is due to the fact that it is the fastest PKCS to provide different security levels at a high speed with very constrained resources.