The connector assembly is used in securing a wear member to a support structure of the earth working bucket in an engaged position in which corresponding apertures of the wear member and the support structure are aligned and form a connector passage. The connector assembly is engaged into the connector passage and comprises: an endless screw extending in the connector passage and having an externally operable head, abutment portions facing opposite walls of the connector passage, and a movement transfer mechanism operable to transform rotary movement of the endless screw into a transversal movement of one abutment portion relative the other, to push the abutment portions against corresponding opposite walls of the connector passage.