Is the employer require to pay holiday pay?

My Employment Agreement states:
. "Employee will not be entitled to compensation for holidays or vacation.
Employee shall be eligible for such holiday pay on the first of the month following 60 days of employment and must have worke d on the
Employee’s last scheduled workday before the holiday and the first scheduled workday following the holiday or have taken those days
as pre-approved time off. If Employee works on a holiday listed above, he/she shall be entitled to receive eight (8) hours straight time
pay, plus straight time pay for the number of hours actually worked. Hours paid for holiday pay will not be considered as hours worked
in the computation of overtime."
The employer is refusing to pay for Labor Day though all of the conditions were met.
Is the employer require to pay holiday pay?