Harold Godwinson claimed the throne.  He said Edward had named him as his successor.  He was a brave and respected leader of men, but he was not a direct heir to the throne.

Harold could not become King just from King Edward's dying words, he had to be declared King by the Witan.  He managed to get the support of most of the Witan quickly, and was soon crowned King. 

Harold was now in charge, but the kingdom was not secure.  He had to get ready to defend himself.