Some common header files in C programming language are:
1. stdio.h - for standard input and output functions 2. stdlib.h - for standard library functions 3. math.h - for mathematical functions 4. string.h - for string manipulation functions 5. ctype.h - for character handling functions 6. time.h - for date and time functions 7. stdbool.h - for boolean data type and values 8. assert.h - for debugging purposes 9. limits.h - for limits of various data types 10. float.h - for limits of floating-point data types
These are just a few examples of commonly used header files in C programming. There are many more header files available for specific purposes and functionalities.