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It is believed the vandalism was caused overnight on Thursday, with police officers alerted just after 8am on Friday.
Lancaster officers said: “We are appealing for information and witnesses after graffiti was sprayed on Lancaster Cathedral.
“We were called to reports of criminal damage at 8:08am this morning (February 2) in Lancaster. The graffiti may have been sprayed overnight between Thursday February 1 and Friday February 2.
“If you have any CCTV or dashcam footage, or witnessed the incident, please contact us on 101 quoting log 0214 of February 2.”