Many people believe that there are certain months, days etc. in which marriage is not permissible. However, there is nothing in the authentic Islamic sources that prove any of such things. No tradition is available that prohibit engagement or marriage including Muharram, Safar or even Ramadhan (as long as the rules of fasting are not broken).
"There is nothing in the sources of Islam to forbid Muslims from engaging in sexual intercourse with their spouses during the month of Muharram. However, we must know that no sexual intercourse is allowed while we are fasting, and it should be common knowledge that we are recommended to fast on the ninth as well as the tenth of Muharram.
Believers must know that no one is allowed to declare things Haraam (forbidden) based on superstitions and cultures of people without clear evidence. Also, it is not permissible to declare anything in the context of Islam out of ones fancies and whims.
There is nothing in Quran or authentic Hadith that indicate that we are not allowed to get married in the month of Muharram or Safar.
Also, there is nothing in the traditions of pious forbears or in the teachings of the authentic schools of jurisprudence to that effect. If there had been such a thing, the Prophet (peace be upon him) would have stated it.
Therefore, those who persist in such beliefs are simply following customs that have no basis in authentic religious knowledge. It is high time that we isolate such customs from the fundamental religious beliefs and practices.
In conclusion, there is nothing wrong in marriage in the month of Safar or any other month. We must not follow every innovation blindly.