Reading English newspaper has become my daily habit.或者Reading English newspaper has become a daily habit of mine.时态也可以用一般现在时：Reading English newspaper is my daily habit now.此处daily是说你每天都看报纸,也可根据情况去掉.
我这种是在美国口语中的惯常说法,我在美国生活十年了,应该不会错.但国内的英语老师可能不认同,毕竟国内课堂英语是美国口语是有区别的.