"The matter has been resolved to the mutual satisfaction of both parties and we look forward to continuing our relationship with One World," the statement read.
Neither company was available immediately for comment. Further details of the new agreement were not made public.
On Tuesday, Business Insider reported that Lampert's blog post had been updated.
One World Technologies, a China-based subsidiary of Techtronic Industries, was the focal point of Lampert's accusations in his original post. He wrote that the vendor was attempting to "take advantage of negative rumors about Sears." Lampert alleged that One World was an example of a company trying to cut a deal "that is unilaterally in their interest."