Most of the modern word processing programs currently available can read and save various text files, including text files saved in ASCII format. So it should not be hard to find a program that can save your .asc file to .doc (MS Word). If your word processor does not associate .asc files by default, try to open it manually much like any other text file.
Convert ASCII text to Microsoft Word document (prior version 2007).
We have found one software suitable in our database for this conversion.
Microsoft Windows software - convert asc to doc on Windows
A fully featured word processor from Ability Office software suite
Convert from asc file format
The table with program actions contains information about what each program is capable of doing with their files. This may be a good pointer for further searches for certain file conversions and help you find the converter you are looking for if our search result is insufficient for you. However, it is far from perfect and may sometimes show results which are not really usable because of the nature of the software handles the files. So a conversion that appears as possible, just because of matched actions, may in fact not be possible.