Hi if I catch the bus to work monthly can I claim that on my taxes as a part of work comp??? the Total cost of my bus transportation is $100 per month

No.

COMMUTING EXPENSES

The expenses of commuting to and from work (or to and from school) such as gas, tolls, bus fare, train fare, taxis, Uber rides, parking, etc. are not deductible on your Federal return.  Sorry.

Note:  You can, however, claim expenses for travel between job sites