Lion is an upgrade and can be installed on all your authorized personal Macs. The OS X Lion Up-to-Date upgrade will be available through the Mac App Store at no additional charge to all customers who purchased a qualifying new Mac system from Apple or an Apple Authorized Reseller on. First and foremost, this process requires that you own a copy of Mac OS X Mountain Lion (10.8).
For detail Installation Guide and Instruction read: Install Hackintosh Mountain Lion on PC/Laptop
Hackintosh Mountain Lion supports AMD and Intel Atom
Hackintosh Mountain Lion is distributed as an ISO file
Hackintosh Mountain Lion works with regular DVDs
There are two versions
USB Version
DvD 4.3/4.7 Bootable
Installation Requirements
A Hackintosh-compatible computer with an empty hard drive
An existing Windows computer/Mac/Hackintosh
A Blank DVD
64bit supported Processor (AMD & Intel) (Haswell Not Supported)