Sharepoint - Sharepoint 2013 Prerequisites installation failed: using Auto installer

Method 1

Install this hotfix and restart & retry.

Method 2

If Method 1 doesn't work, manually install prerequisites and restart:

Open an elevated Windows PowerShell prompt on the SharePoint server (that is, Run as Administrator), and execute the following commands:

Import-Module ServerManager

Add-WindowsFeature NET-WCF-HTTP-Activation45,NET-WCF-TCP-Activation45,NET-WCF-Pipe-Activation45

Add-WindowsFeature Net-Framework-Features,Web-Server,Web-WebServer,Web-Common-Http,Web-Static-Content,Web-Default-Doc,Web-Dir-Browsing,Web-Http-Errors,Web-App-Dev,Web-Asp-Net,Web-Net-Ext,Web-ISAPI-Ext,Web-ISAPI-Filter,Web-Health,Web-Http-Logging,Web-Log-Libraries,Web-Request-Monitor,Web-Http-Tracing,Web-Security,Web-Basic-Auth,Web-Windows-Auth,Web-Filtering,Web-Digest-Auth,Web-Performance,Web-Stat-Compression,Web-Dyn-Compression,Web-Mgmt-Tools,Web-Mgmt-Console,Web-Mgmt-Compat,Web-Metabase,Application-Server,AS-Web-Support,AS-TCP-Port-Sharing,AS-WAS-Support, AS-HTTP-Activation,AS-TCP-Activation,AS-Named-Pipes,AS-Net-Framework,WAS,WAS-Process-Model,WAS-NET-Environment,WAS-Config-APIs,Web-Lgcy-Scripting,Windows-Identity-Foundation,Server-Media-Foundation,Xps-Viewer

Source

Please go to C:\windows\System32 and find "ServerManager.exe" rename it as "ServerManagerCMD.exe" then run the prerequisite installer of sharepoint. If you need more help then you can find it from here

Hope you will find it helpful.