Try to rewrite you query using subquery: In case your PK for TR_ContactResultRecord
is CaseNo
DELETE FROM TR_ContactResultRecord
WHERE CaseNo IN (
SELECT CaseNo FROM TR_ContactResultRecord a
INNER JOIN TR_Case b
ON (a.FireStationCode=b.FireStationCode and a.CaseNo=b.CaseCode )
WHERE b.Update_DateTime <=20140628134416
);