Ubuntu installed on Vmware cannot get access to internet

Selecting NAT option under Network Connection in Network Adapter setting has done the trick for me.

You just need to Bridge your actual Ethernet port to VmWare port, so that virtual machine get access to internet through that bridged connection.

In order to do that, instruction are available on following links:
1. Configuring Bridged Networking Options on a Windows Host
2. Vmware Help

This will definitely solve your issue.

UPDATE

For Vmware PLayer: How to Fix a VMware Player Bridged Network?
There are images shown in the article, which will help you to attend each step.

Another resolution is it may be possible that it won't work with Bridged Connection. Try with NAT (N/W Address Translation) option.
if it still doesn't work then check your UBUNTU has correct driver installed.

For further information you can dive in following links...
1. Troubleshooting networking and internet connection issues in VMware
2. Understanding networking types in VMware

I tried everything everyone has posted to an unsuccessful outcome. Then, under the wifi icon on the Ubuntu upper right taskbar, I clicked "auto ethernet". BAM! Lit up like a christmas tree. Everything connected right away.