The significance of container orchestration tools lies in their ability to automate and manage the deployment, scaling, and operation of containerized applications. Tools like Kubernetes and Docker Swarm facilitate efficient resource utilization and ensure consistency across different environments. They enable developers to manage microservices architectures effectively, allowing for seamless updates and rollbacks. By automating routine tasks, these tools enhance operational efficiency, scalability, and resiliency in application deployment, significantly improving the overall development workflow.