Dear Mr. Quintanilla,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located the series Population Schedules for the 1940 Census in the Records of the Bureau of the Census (Record Group 29) that includes the file unit 1940 Census Population Schedules - Texas - Kleberg County - ED 137-4. The records have been digitized and are available using the Catalog. You may print out the image(s) and/or download the file.
We hope this is helpful. Best of luck with your research!