Rangers have accused some Celtic fans of a "sickening and shameful" display of sectarian hatred at the Old Firm derby on Saturday.

The Ibrox club released a statement on Monday hitting out at a section of the Celtic support, saying they were aware of the "disgust" felt by Rangers fans.

Two blow up dolls wearing a Rangers scarf and orange sash were hung from nooses from the stands at Celtic Park during the match.

Police Scotland have also confirmed they are investigating the display of the dolls as well as banners in the ground.

One arrest was made in the stadium, while toilets were also damaged.

The Rangers statement said: "The club's directors are fully aware of the disgust felt by Rangers supporters who were subjected to a sickening and shameful display of outright sectarian hatred towards them.

"We also share the fans' anger and will be contacting Club 1872 as a matter of urgency."

On Monday, supporters' group Club 1872 called for a ban on Celtic fans attending Ibrox for the next Old Firm match, citing "sectarian displays".

In response, Celtic issued a statement, which read: "Celtic will not become involved in a tit for tat spat regarding all events at Celtic Park on Saturday

"We will deal with all issues arising in a proper and professional manner in line with our well established policies.

"Saturday was a fantastic event for the club and our fans worldwide. We thank the overwhelming majority of our supporters for the positive backing they gave to the team and for making this such a great occasion."

Assistant chief constable Bernard Higgins, justice and support, said: "The overwhelming majority of those who attended the Celtic v Rangers game behaved responsibly and appeared to heed the advice given in the run up to the fixture.

"What is hugely disappointing and frustrating is that a minority of individuals behaved in a manner which has no place in our communities, football and modern society and which has resulted in Police Scotland carrying out investigations to identify those responsible."