In your statement you indicated you indicated your husband was denied for a low credit score. In another sentence you indicated he was denied because of his past rental history.
Which was it one or both?
If your husband was denied because of his past rental history, you might want to request a free credit report to see if this should no longer be on his credit report.
Since you were denied credit or a place to rent, you are entitled to a free credit report from the 3 major credit bureaus. You have to request this free credit report from the credit bureaus.
There is not much you are able to do about a low credit score, except make sure your husband pay all his debts on time from this date on.
Normally a husband and wife would be considered equal in the application for a rental unit. One could not be the primary tenant and the other be listed as an occupant, even if only one is employed.
You and your husband might want to be careful of this apartment that has indicated you would be the primary tenant and your husband would be listed as an occupant. Inmost cases if your husband earn more than you, the property manager or landlord would not want to list you as the primary tenant and your husband as an occupant.
You might want to consider, when applying for a rental to explain that your husband has a low credit score and rental problems in the past. You might want to inquire if this would prevent you and your husband from being approved for the rental unit.
In doing this you would not waste your time,or that of the property manager,nor would you be required to pay a rental application fee if you know there is no chance of you being approved.
What property managers and landlords do not like are surprises. Normally if they are aware of any potential credit problems they would know in advance.
I hope this has been of some benefit to you, good luck.