I assigned the IP Adress to the vServer but, i wasn't abble to get an connection to the internet.
I tried it, by assigning the IP by to the hostsystem as eth0:1 or just assigning it into the vServer.
Hello,
you shouldn't create eth0:1 or assign IP address in VE!
Please, read manuals! You should use `vzctl set <veid> --ipadd` command.