The tyres were illegally abandoned close to the 12th-century Cowper's Cross monument earlier this week.
Bradford Council confirmed they are investigating the incident and arranging for the removal of the tyres.
A spokesperson said: “We are aware of a large number of dumped tyres on Ilkley Moor near to Cowper's Cross.
“We will investigate the incident to try to identify the criminals responsible and remove the tyres as soon as we can.
“Bradford Council employs a range of measures to tackle illegal flytipping, including CCTV cameras to catch the culprits and seizing vehicles known to be involved.
“In the last two months we have seized two vans which had been used in multiple flytipping offences.
"We have the power to issue fixed penalty notices to, or prosecute through magistrates’ and Crown courts, both flytippers and householders who allow their goods to be flytipped by rogue traders
“If rubbish is dumped on Bradford Council land we will clear it up as soon as we can. Bradford Council is not responsible for removing rubbish from private land but we will advise the landowner how to get rid of it and suggest ways to prevent a repeat.
“We also have the power to compel the landowner to remove flytipped rubbish.
“If you see flytipping taking place, please note down as many details as possible, including vehicle licence plate numbers and inform the council.”
Flytipping can be reported be calling the Council 01274 431000 or online at www.bradford.gov.uk.