Kermorgant headed the hosts into the lead from a Matt Ritchie cross eight minutes before half-time and Francis started and finished a tremendous passing move in the 70th minute to seal the three points and extend Wigan’s winless run to four games.
Midfielder Ritchie orchestrated the majority of Bournemouth’s attacks in the first half. He surged down the right in the 16th minute and his dangerous cross was hooked away by Ivan Ramis as the lively Callum Wilson was about to convert.
Wilson had already gone close in the third minute, weaving inside of Wigan captain Emmerson Boyce from the left before shooting narrowly wide.
Bournemouth’s strong start continued on 18 minutes as Richie failed to connect properly with a shot from 25 yards out, allowing Scott Carson to make a straightforward save.
He made no such mistake from an identical position after 25 minutes, but his signature strike flashed the wrong side of Carson’s post.
Ritchie then turned provider for Bournemouth’s opener, picking out Kermorgant with a teasing delivery, and the striker outmuscled Robert Kiernan to head the cross back beyond Carson and into the far corner.
Kermorgant had earlier been denied by an excellent one-handed save from Carson after twisting into space in the area, and his goal gave Bournemouth a deserved lead.
Wigan had come close when Emyr Huws cut into space from the right before sending his shot high and wide and again when Ramis headed a corner onto the roof of the net.
Wilson had a superb opportunity to double Bournemouth’s lead on the counter-attack in the 59th minute but was forced wide after his initial effort was blocked by a last-ditch sliding challenge from Ramis and Wigan cleared at the second attempt.
Marc-Antoine Fortune brought a routine save from Artur Boruc, making his home debut for Bournemouth after completing a loan move from Southampton, with a bouncing header from a neat cross by Andrew Taylor.
Wigan manager Uwe Rosler looked to give his side some impetus with a double substitution in the 66th minute, replacing Robert Kiernan and Martyn Waghorn with Leon Barnett and Oriol Riera, but it was to no avail.
Four minutes after the swap, they were undone by an intricate passing move.
Wilson dummied Francis’ pass, letting it run into the feet of Kermorgant, who returned the ball into onrushing Francis and the defender tucked the ball underneath Carson first time to secure Bournemouth’s first league win in seven games.