Goals from Steven Berghuis, Mohammed Kudus and Francisco Conceicao made it six straight defeats for the Ibrox men, as a James Tavernier penalty left them with a goal difference of minus 20.

Rangers are the first Scottish team to go through the group phase without a point and become the 22nd side in the history of the competition to do so.

Dinamo Zagreb had previously held the unwanted worst record with a minus 19 goal difference from season 2011-12 - a tally matched by Viktoria Plzen this term but eclipsed by the Scottish Premiership side.

Injuries have hampered Rangers but the gulf between the Glasgow team and their Group A opponents has been stark.

The air was still thick with smoke from Ajax fans' pre-match pyrotechnics when the visitors struck. A slick move opened up the Rangers defence, with Kudus providing a neat lay-off for Berghuis to side-foot beyond Allan McGregor.

The home side responded in determined style, with former Ibrox favourite Calvin Bassey denying his old team-mate Fashion Sakala with a goal-line clearance.

However, further defensive frailties were exposed with Kudus given far too much time inside the penalty area and his shot going in via a big deflection off Leon King.

Now Ajax were brimming with confidence and it took a good diving save from McGregor to deny Steven Bergwijn before the same player drilled an angled shot narrowly wide.

That passage of play prompted loud boos from home fans fed up with a perceived lack of application from their side and there was another scare just before half-time as Kudus was close to turning in a mis-hit strike from Berghuis.

Supporters had to be content with cheering the odd hard tackle in a largely dreary second half as the hosts battled for a way back and Ajax dropped their tempo.

The impressive Kudus was denied a second goal after a VAR check for offside, while Scott Arfield's dipping volley had to be tipped over by Remko Pasveer.

Alfredo Morelos then somehow skewed his shot wide of an open goal before Rabbi Matondo was bundled over for a 87th-minute penalty, which Tavernier slotted down the middle for just Rangers' second goal in these six outings.

That looked like staving off the dreaded record until Conceicao was allowed to jink forward and drill in a third for Ajax.

Player of the match - Mohammed Kudus

Kudus set up the first goal, scored the second, and was a real menace until Ajax eased off in the second half

Rangers lack intensity and belief - analysis

With four experienced central defenders missing, Rangers paired teenager Leon King with United States midfielder James Sands at the back and they could do little to stem the flow of Ajax attacks in a one-sided first half.

Steven Davis and Scott Arfield, with a combined age of 71, were overrun in midfield as the Dutch reminded us of the matchday one mauling in Amsterdam.

Home heads dropped after the second goal much to the ire of the Ibrox support and, while it must be acknowledged this has been a devilishly difficult group, there has been none of the aggression or intensity that took Rangers all the way to the Europa League final last season.

Manager Giovanni van Bronckhorst will be glad this Champions League nightmare is over and must now quickly lift his side again for the remaining Premiership matches before the World Cup break since they cannot afford to lose any more ground in the title race.

What they said

Rangers manager Giovanni van Bronckhorst: "After playing six games you can see the difference in level - that's why it's very difficult for us to get results.

"You know the gap is there, but we don't want to concede so many goals. We struggled against teams of the highest quality, it's a big learning experience for us. It's been hard, those are facts."

Match stats

• Rangers' six group-stage defeats is now the club's longest ever losing streak in European competition.
• Since the start of last season, Tavernier has scored more penalties than any other player in major European competition (5), with his spot kick just Rangers' second Champions League goal this season.
• Ajax have now won all six of their meetings with Rangers, their joint-best record against a single opponent alongside Besiktas.
• Since his debut in the competition in 2017-18, no Dutch player has been involved in more Champions League goals than Ajax's Steven Berghuis (11 - level with Memphis Depay), scoring six goals and assisting five more.
• Since 2003-04, Kudus is the first African player to both score and assist against the same opponent in the group stages of the Champions League both home and away, doing so against Rangers this season (2 goals, 2 assists).
• At 19 years and 322 days, Conceicao is the youngest substitute to score for Ajax in the Champions League since Anwar El Ghazi in October 2014 (19y 171d).

What next?

Rangers go to St Johnstone for the Scottish Premiership lunchtime kick-off on Sunday (12:00 GMT).