Thank you very much for joining BBC Scotland's coverage. We'll have lots of match reaction on the website, including a player rater compiled by Darren Jackson. All the best, and well done to Scotland!
- Ikechi Anya scores only goal of the game
- Allan McGregor makes string of fine saves
- Kenny McLean, Tony Watt and Paul Caddis make Scotland debuts
- Listen on BBC Radio Scotland 810MW/DAB
Ikechi Anya scored with Scotland's first shot of the game.
Scotland have scored in 10 of their last 11 away internationals.
Gordon Strachan has overseen successive away wins as manager for the first time since March 2014 (a run of three wins).
Scotland have also kept consecutive clean sheets for the first time since March 2014.
The Scots have lost just two friendlies under Strachan (W6 D2).
So it's on to Hampden on Tuesday where Denmark will be the visitors. What a fillip it would be if Scotland could register another win, albeit in a friendly.
Gordon Strachan: "The players can be pleased with themselves, I don't think anybody needs to be worried about their performance."
Gordon Strachan: "After a low start in the first half I thought the Czech Republic played very well but I think we allowed them to play. I thought McGregor was fantastic. We didn't close people down. Once we sorted that out in the second half and passed the ball it became a different game. The group have made it a good night. We are not a great side but we can turn ourselves into a decent side by working hard. It was great learning in the first half about how small things can change a game."
Scotland manager Gordon Strachan: "The win." There you have it.
Scotland's Under-21s are trailing 2-0 against France, a damaging blow to their hopes of qualifying for the European Championships.
BBC Scotland's Tom English: "That's a strong victory for them against a good side. The Czech Republic ran out of ideas in the second half. They limited the Czech Republic to the odd chance. McGregor was in top form and Scotland should have had a penalty. It's a very creditable victory and it's a good confidence booster."
It is more than a decent result, it's a fantastic result. Gordon Strachan has had a bit of criticism for his squads. Everybody has been fantastic.
Tony Watt shows good strength and an old head to kill time down in the left corner. What's more, he wins a corner. Terrific.
The Tartan Army are in good voice, with a hearty rendition of Flower of Scotland. We're in to the three minutes of injury time now.
Birmingham right-back Paul Caddis comes on for Ikechi Anya. He joins Kenny McLean and Tony Watt in making his Scotland debut.
Barry Bannan loops a cross over from deep on the left and Ikechi Anya heads wide, under pressure at the back post.
Now here's a story! Veteran Athletic Bilbao striker Aritz Aduriz has bagged on his first start for Spain - six years after his only other international cap.
The 35-year-old frontman, who has netted 31 goals for the La Liga side in all competitions, slams in an equaliser just seconds after Italy take the lead through Napoli's Lorenzo Insigne.
All over in Odessa. So what, I hear you cry? So Ukraine - Wales' next opponents and Northern Ireland's Euro 2016 rivals - have earned a steady if unspectacular 1-0 win against Cyprus. Shakhtar Donetsk midfielder Taras Stepanenko bagged the first-half winner.
He's had an unbelievable night. That was a great save down low. Scotland have been lucky tonight having him in goal.
Allan McGregor keeps the Czech Republic out with a smart dive down low to his left. Apologies, I can't make out who got the shot in - more a bounce of the ball off his leg than a shot, but a very good save all the same.
Tony Watt has 12 minutes to show what he can do for Scotland. Ross McCormack is now off.
The Scotland players look far from impressed with Matej Vitra who goes down in the box. Defender Christophe Berra did a bit of the Hokey Cokey there, putting a leg in and taking it out in case he was penalised. There didn't look to be much in that, I reckon.
Striker Tony Watt is about to come on for his Scotland debut.
Oh, no. Ref-er-ee! Alan Hutton is tripped by David Limbersky inside the Czech box but the Irish referee Paul McLaughlin doesn't want to know. Play on, he implores.
He's a winner. He's back, he's fully fit and it's great to have him back.
It's a difficult one for Czech number eight David Limbersky to take as the ball bounces high in front of him. With the ball rising he does well to nod it at goal but it is well wide.
Robert Snodgrass - how great to see a two-footed Scottish player - swings in a cross with his left boot. A cluster of bodies rush towards it at the near post but the ball slides past Tomas Koubek's left-hand post.
He will have found it a learning process. He has done a lot of good things tonight and I think Kenny will be really happy with his debut.
Matt Phillips makes a good early impression as he dives at Robert Snodgrass's cross from the right and nods the ball at goal, but the keeper Tomas Koubek is alert to the danger.
The Czechs have forced 10 corners to Scotland's three.
Sheffield Wednesday's Barry Bannan comes on for Andrew Robertson and Queens Park Rangers' Matt Phillips takes to the field for Kenny McLean. Charlie Mulgrew moves to left-back from his defensive midfield starting position.
Midfielder Kenny McLean doesn't quite connect properly with a shot that goes by the Czech post.
We need to keep hold of the ball. We are putting ourselves under so much pressure.
Christophe Berra does well to snuff out an attack as he matches the diving header of his opponent. Allan McGregor is happy to watch the ball trickle past the post.
I know the real point of this game is to give fringe players a chance to shine, but if the score stays the same I'm so shallow I'd rather Gordon Strachan didn't make too many second-half substitutions. A win's a win and all that.