Directors' and senior executives' insurance is a type of insurance coverage that protects company directors and senior executives against financial claims that may arise from their management of the business. This can include claims for negligence, breach of contract, breaches of the law, etc. 

If such a claim is made against a director or a senior executive, the insurance covers the legal costs and indemnities for which they are held liable under the law. This coverage can help protect the personal finances of directors and senior executives, and cover the significant financial costs that potentially arise from civil liability claims.