Zaid Alsalami, Shaykh Dr Zaid Alsalami is an Iraqi born scholar, raised in Australia. He obtained a BA from Al-Mustafa University, Qom, and an MA from the Islamic College in London. He also obtained a PhD from... Answer updated 1 month ago

Bismihi ta'ala

If this is the case that you are in, then such a relationship is not a healthy thing at all. You must try to find means of making him cease such conduct, if you have not yet tried, and then intervention, if that does not work. 

In my opinion, a wife does not deserve to be treated in such a way, and a husband being flirtatious with other women is certainly not the traits of a Muslim. 

Please watch this short clip on how a wife should deal with her promiscuous husband:

With prayers for your success