You and your partner can take out a joint critical illness cover policy. Think carefully about how you want the policy to work. With most joint policies you will only be allowed a single claim. So, for example, if you were to be diagnosed with a critical illness and then claimed on the plan the policy would end and your partner would no longer have the cover. In some cases, however, you can buy joint policies that continue to cover the second person – even after a partner has claimed.