有!两者区别如下：
1.next month意思是“下个月”,是从现在开始计算的,所以句子时态一般是一般将来时.
如：I'm going to Beijing next month.
2.the next month意思是“第二个月”,是从过去的某个时刻/动作开始往后计算的,一般用于讲故事/间接引语,所以句子时态一般是过去将来时或一般过去时.
如：He said he was going to Beijing the next month.
The bird could fly the next month after it was born.