Your Mac model is older (pre-2008) or newer (post-2012). Lion supports only:

Navigate to Contents/SharedSupport/ and find InstallESD.dmg .

Inside, you will see a file named InstallMacOSX.pkg . Run this to install the "Install Mac OS X Lion" application into your Applications folder.

If you purchased Lion through the Mac App Store using your Apple ID when it was current (before it was removed in 2013), you can still download it:

Only use Apple-signed sources—either your Apple ID purchase history, Apple’s hidden support links, or Internet Recovery.

While Lion is now considered a "legacy" operating system, it remains a vital bridge for older Mac hardware. Whether you are restoring a vintage MacBook or need it to step-up to a newer OS, here is the official and safest way to get the installer. The Official Way: Free from Apple