BBC Sport asked Spurs fans for their views on the appointment and this is what they said:
Tristen: Where to begin. The club are utterly clueless. Desperate and bereft of ideas. Sacking is the answer to every problem apparently, and plonking another random person out of thin air, with no Premier League experience is just mind boggling. Frank had been on the precipice for many weeks. Have someone lined up and be organised before you sack is business sense.
Gerald: Typical of the Tottenham board to go for what is probably the cheapest option and ignoring the daring or costly choices. Enic are supposed to have provided £100m for investing in the team yet spent what they got for Brennan Johnson our top scorer last season. Wish Mr Tudor all the best and hopefully can improve on Mr Frank.
Nigel: Igor who? A nothing appointment, who has no record of winning anything, but instead a pretty consistent record of failure and being sacked. Presumably Mr Lange reckons he can be the fall guy for his continuing failure. The stadium will be empty before the season ends.
Billly: Was this really the plan? It’s been obvious for weeks/months Frank was going to go and yet this is the best we could come up with?
John: It is good that we have found an interim manager. I hope he does a great job, and he will become permanent. However, he might need to park his real beliefs as what is needed is rugged disciplined defence, coupled with calm sensible football in attack so the strikers can keep cool when chances present themselves.
Andy: Igor Tudor? Wow this looks like another wild punt – when there is no time or place for one. Roberto de Zerbi would have been the obvious choice to put a rocket up our team with instant 100mph attacking football. Let’s hope the board know something we don’t. I’m not excited, which I should be. I am scared.
Ralph: Does it make any difference which manager you get, without the right players and knowledgeable recruitment staff, Spurs will be in the same position they are now, next season.
Dean: Spurs are going down, I can’t understand the board, the situation we are in, we need someone that knows the Premier League and has past experience of galvanising the players. This is very underwhelming.
Paul: Really don’t know much about him so will give him a chance. It all depends how the players react. As individuals they are fine but as a team they totally lack cohesion in transition from defence to midfield and then to any kind of meaningful attacking policy.