If a given OSes VMware Tools has not yet been downloaded, VMware Player has to download VMware Tools to the Host before installing in the Guest. In a case such as Windows NT on a Windows Host using VMware Player 6.1 it downloads the tools-winPre2k-9.6.1.exe.tar file, extracts the tools-winPre2k-9.6.1.exe file and executes it. This installs two files in the VMware Player working directory, winPre2k.iso.sig and winPre2k.iso. The winPre2k.iso file should have a SHA-1 checksum of 0c0d7927c9514c894872108976ebf5006f3292c1 and if it doesn't then either delete the winPre2k.iso.sig and winPre2k.iso files and have VMware Player download the VMware Tools package again or use the link provided for the tools-winPre2k-9.6.1.exe.tar file and download it yourself. Extract the tools-winPre2k-9.6.1.exe file and execute it and it will silently install the winPre2k.iso.sig and winPre2k.iso files to the VMware Player working directory.
The the tools-winPre2k-9.6.1.exe.tar file has a SHA-256 checksum of: e089723f3b41f4d05d74f6b691b8cef6c472a0c233e0c51d224c911f06c71ab2