Tottenham Hotspur 0 Hull City 0
The Hull keeper made six world-class saves to help his side move out of the bottom three and give them a major confidence boost as they look to beat the drop.
For Harry Redknapp, this was a disappointing way to celebrate his 500th Premier League game in charge and Tottenham are struggling to take points off the bottom teams at White Hart Lane after already suffering home defeats against Stoke and Wolves.
The one consolation for Redknapp was seeing his side keep their fifth successive clean sheet in the Premier League which equals their club record going back to 2001.
Tottenham started brightly and could have opened the scoring after nine minutes.
Luka Modric was filling in for the injured Aaron Lennon on the right-hand side and he played the perfect lay-off to his Croatian team-mate Niko Kranjcar on the edge of the box and he fired the ball over the bar.
Hull needed their back-line to be at their best if they were to get anything from the game, but it was Myhill who stole all the headlines with one of the best performances of his career.
Myhill made two fantastic saves to keep his side in the game on 37 minutes.
Wilson Palacios saw his low shot parried away by the Welsh keeper. The rebound fell to Robbie Keane whose left-foot shot forced a world-class save from Myhill.
Keane must still be wondering how his shot failed to hit the back of the net.
The home side came close again on 42 minutes. Tom Huddlestone played a clever ball Kranjcar who fired his shot just past the post.
The home fans were becoming angry with Hull's persistent time-wasting, but it was Myhill who was keeping his side in the game with another top-class save on the stroke of half-time.
Modric played a through ball to Jermain Defoe who was clean through on goal, but his shot was well saved by Myhill once again.
Myhill came to Hull's rescue once again when he made another superb double save on 53 minutes.
Modric saw his low shot force a superb one-handed save from the Hull keeper diving low to his left.
The ball came out to Robbie Keane who had the easy task of knocking the loose ball home, but his shot was somehow kept out by Myhill.
Hull's first attempt on the Tottenham goal came on 56 minutes and it was former Spurs favourite Nick Barmby who burst clear into the box but drilled his shot just past the post.
The Tottenham strikers must have been wondering how they would find a way past the unstoppable Myhill, who made another fantastic save to deny Modric on 78 minutes.
No guessing who came to Hull's rescue once again in injury time when Kranjcar's ball picked out Peter Crouch and his close-range header was kept out once again by Myhill.