The Internet has become a critical basic infrastructure for society and the economy. As such, the resilience of the Internet is essential for the functioning and resilience of many sectors of our digital economies. In our increasingly digital society and economy, Internet is a key element of cyber- resilience. Understanding how to assess and promote Internet resilience are important policy challenges. In this paper, we discuss key aspects of the Internet design that differentiate it from other critical infrastructure and that are essential in considering its resiliency. We also explore how to achieve resiliency and provide a series of illustrative examples that reveal the challenges of achieving and measuring Internet resiliency, as well as mechanisms that contribute to it. Finally, we offer our thoughts on the policy challenges and approaches for promoting Internet resiliency.