I have installed vCenter 6.0 and vsphere client 6.0. I can connect to web client, but when I connected to vCenter using vsphere client I got error.
In version vsphere 5.5 I can connect to vCenter using vsphere client 5.5.
I don't find any information about it on vmware.com.
Do vsphere 6.0 support connection to vCenter using vsphere client?
I guess you are using Vsphere Client beta builds that has only host client functionality enabled.
Try GA build Client to connect to vCenter. However, all new features from Vsphere 5.1 onwards are available only in web client.