Styrene, C6H5-CH=CH2, consists of 2 parts: the benzene ring & the alkene substituent. Together, they will be EDG but they will be weakly activating. For Michael addition reaction , the donor will have 2 EWG groups while the acceptor will have one EWG group. Therefore, you need to think about a different compound other than styrene.

thank you for kidly reply, is that possible if attach an substituent on the benzene ring like carbonyl compound

Yes you can try Friedel-Crafts acylation in which R-(C=O)- group becomes attached to mostly the para position (opposite to -CH=CH2). This will reduce the weak EDG effect and may be this will cause it to act as Michael acceptor. If the Michael donor has 2 strong EDGs , this may help. 

This is a new research so I used (may). Only experimentation will give the apt answer.

thank you for your reply