After Stokes's heroics with the bat had helped England score 330 for six in their 50 overs, South Africa needed 10 runs from the last 10 balls of their innings with five wickets remaining, but an excellent final over from Wood that cost just four runs sealed victory.
England fast bowler Jofra Archer was ruled out of the Ashes series against Australia.
England spinner Rehan Ahmed has been added to the Ashes squad for the second Test against Australia.
A summary of Saturday's action in the FA Cup.
England will be eyeing their second T20 World Cup after a long wait of 12 years.
IMAGES from the World Cup match between Australia and England played in Ahmedabad on Saturday
Their campaign back on track after the humiliating loss in the opener, title holders England would look for a dominating all-round effort against a battered Afghanistan in the World Cup in New Delhi on Sunday, with eyes firmly set on bettering their net run rate.
IMAGES from the Super Eight Match of the T20 World Cup, played between England and USA, in Bridgetown, Barbados, on Sunday.
Manchester United dropped out of the Premier League's top four
England batters look to tame strong South African bowling
England, chasing 251 to win the must-win third Ashes Test, closed the rain-delayed day three on 27/0.
Rain threatens high-voltage India-England semi-final clash
Bangladesh would like to exploit those chinks in England's armour
Wood has taken nine wickets from four matches so far in the tournament. Malan sustained a groin injury in England's four-wicket win over Sri Lanka last Saturday.
England have named an unchanged squad for the first two Tests of the five-match Ashes series against Australia.
Monday's resumption was also a chance for those jostling at the top of the table to lay down a marker and for the strugglers to enjoy a fresh start.
Images from the English Premier League matches played on Saturday, April 13.
England's Chris Woakes stated that he is "at ease" with the Three Lions' decision to leave him out of the Test team for a series against India, calling it a "fair decision."
Stuart Broad picked up the final two wickets in his last appearance for England to guide the hosts to a series-levelling 49-run victory in the fifth and final Ashes Test against Australia.
IMAGES from Day 5 of the 5th Ashes Test played between England and Australia at The Oval, London, on Sunday.
England named batter Harry Brook at the expense of Jason Roy on Sunday in the squad for their 50-over World Cup title defence.
The bodies were found with their hands tied, blindfolded and shot at close range in the back of the head.
After several losses in the early years of the new century, a resurgent India notched up two consecutive series wins in Australia to become the Aussies' nemesis.
England will be looking to bounce back from a rain-affected opening match and solidify their T20 World Cup campaign
Faltering Punjab Kings, Mumbai Indians desperate to resurrect IPL campaign
Australia retained the urn after rain washed out the final day of the fourth Test at Old Trafford, leaving England trailing 2-1 in the series.
NZ face WI in virtual knockout, rain threatens to derail England again
LSG, Punjab Super Kings will be aiming to bounce back after losing their previous match.
Archer was released by the franchise last week. His name doesn't figure in the list of players who have registered for the IPL auction, set to be held on December 19 in Dubai.
The International Olympic Committee (IOC) may reconsider golf's place on the programme due to the growing number of big-name withdrawals from the Rio Games, former Ryder Cup captain Colin Montgomerie has said.
Images from the ICC World Cup match between India and England in Lucknow on Sunday.
The Ashes rivalry between the Australian and English cricket teams escalated to new levels, with the prime ministers of both countries jumping into the fray, again.
England will 'play cricket that gets a result, our way', said their inspirational captain Ben Stokes, strengthening the team's commitment to stick to the hotly-debated 'Bazball' approach.
'I wouldn't want that to be the same case going to India, bowling on tracks which are unresponsive to my type of bowling; slamming the front knee down at 34 is not really ideal when I want to play a lot of white-ball cricket moving forward.'
Florida Governor Ron DeSantis has signalled that he would largely bypass the New Hampshire primary next week and instead would focus on South Carolina where the Republican presidential primary is scheduled for February 24.
Manchester City moved 17 points clear of the pack with a 3-0 win at Fulham on Saturday
In their first Olympic campaign since Beijing 2008, Australia took a surprise lead against twice gold medallists Argentina inside 14 minutes when winger Lachlan Wales scored from close range.
Trent Boult grabbed two wickets on successive balls to help New Zealand to a 12-run win over England in their Twenty20 tri-series match at Wellington Regional Stadium on Tuesday.