Should a husband introduce his wife to his business partner (woman).?

Not sure what "confusion" you're eluding to. But sure, if the wife and business partner happen to be in the same place at the same time it would be basic etiquette to introduce them. 

I'd say it would be fairly normal for business partners to socialise with their spouses present. 

It is in order to introduce your wife to your business partner not at a business meeting but at tea or lunch .Introduce her casually .

Of course.  Any female friends, or female people that you are close to, should also be friends with your wife.  That helps to protect everyone.  It is secrets and secret liaisons that create needless risk.

With my husband being an attorney at a law firm I know the women there and he introduced me, they are very nice women who are now friends of mine! And I see no problem him say hey this is my business partner or my secretary. 

No.  He should behave like he has never, ever spoken to a woman who is not a direct blood relation apart from his wife.  The very idea that he would do business with a woman should be treated as the shameful secret it is.

Seems sensible to introduce your life partner to your business partner regardless of the sexes of the people involved. In fact, it seems obviously sensible.

If the situation ever arises or it comes up in conversation then sure. Otherwise it doesn't matter because work life and home life are two separate things that usually shouldn't be mixed. 

You are insecure as a ***

sure                           .