You can convert the file to a type QB will understand.

You can convert it to an OFX/QBO file for import using the bank feeds feature or to an IIF file for import directly into your bank register.

Use the BRC QIF to OFX/QFX/QBO Converter  for bank feeds, to match with existing transactions.

Use the BRC QIF to IIF Converter to import the data into your register directly.