Huron County granted some tax relief to Kmart but said "no deal" to its bigger box-store rival, Wal-Mart.
Both retail giants asked county officials last month to lower the taxable value of their buildings.
The county's board of revision lowered Kmart's tax valuable by $248,220, though Janess Associates & Consuman Co., the company that owns Kmart, requested a $353,300 reduction.
The total value of Kmart's facility at 330 Milan Road in Norwalk was most recently appraised at $3 million, according to county records, only $1,053,300 of which is considered taxable property.
The board of revision lowered the taxable value to $805,080, based on recent sales of comparable properties.
"We felt that the value of their building had deteriorated -- it had cracks in the foundation, and the building was much older," said Annie Saunders, a board of revision member.
Kmart's new tax value adequately reflects the building's depreciation, Saunders said.
If the company remodels the building, however, the board can reassess the value.