Mr Eckhoff, who is also an Otago regional councillor, sent the company an account for $5625 for one year's use of his property for the transmission lines.
The figure is made up of $100 a pole for 50 poles, plus GST.
The double line of poles was on the 2427ha property when he bought it in 1984 and he receives no compensation or rental for them.
"They have an impact on my farming operation and cause considerable inconvenience," Mr Eckhoff said.
"I could accept it when the lines were community owned [by the Otago Central Electric Power Board] but now they're owned by a company [Delta] that is profiteering, with the proceeds going back to Dunedin, I see no reason why we should suffer in silence."
Delta chief executive Grady Cameron is on leave this week and a spokeswoman from the company said senior management would not make any public comment on the matter but would respond to Mr Eckhoff directly.
Mr Eckhoff said the placement of the poles meant he could not use travelling irrigators on that section of the farm but had to use a more labour-intensive method of irrigating.
The poles also affected where he could aerial spray his crops and where he could burn scrub and plant trees.
"Adding insult to injury is the fact that I get a line charge added to my power account, even though I've got a transmission line across my property and Delta are getting the benefit from it - that's bizarre when you think about it."
"And why should landowners have to tolerate this sort of imposition, without getting some sort of compensation?"
His property is bisected by State Highway 8 and a line of Transpower pylons are also dotted across his property, across the road from the Delta poles.
"I don't have any problem with Transpower. They're looking at upgrading the main grid line and it appears to me they are taking a very conciliatory approach and want to engage with landowners."