The result at The Completely-Suzuki Stadium saw the Seasiders’ play-off hopes suffer yet another blow, and leaves them winless in their last four league outings.
Elliot Bonds scored either side of half time to condemn Neil Critchley’s side to their eighth loss on the road this season.
Following a quiet start to the game, Cheltenham had a golden opportunity to open the scoring ahead of the half hour mark. A free kick from Sean Long was glanced across the face of goal by Curtis Davies, with George Lloyd unable to keep his header down from close-range.
The home side didn’t have to wait too much longer to open the scoring, as Blackpool struggled to defend another set piece, leaving the ball free for Bonds to poke past Dan Grimshaw through a crowd of bodies.
Darrell Clarke’s side almost doubled their lead before half time, with the Seasiders keeper making a strong save to deny a powerful effort from Will Ferry.
Following the restart, Grimshaw made another important stop to keep the score at 1-0, coming off his line to deny Lloyd after a good ball through from Bonds.
Blackpool had to wait until the 59th minute for their first chance of the game. A good ball into the box by Albie Morgan was met by Kylian Kouassi, but the striker was unable to generate enough power to trouble Luke Southwood with a header.
Heading into the latter stages, Cheltenham were awarded a penalty following more mayhem from another set piece. Grimshaw was once again on hand with a big save, with the 26-year-old guessing the right way to deny Aidan Keena.
With five minutes left on the clock, the Robins secured the three points, as Bonds claimed his second of the evening to make it 2-0.
Here’s how the Seasiders performed:
1. Dan Grimshaw- 7
Blackpool could've fallen further behind but for a couple of really good saves from Dan Grimshaw either side of half time. The 26-year-old was also on hand to stop Aidan Keena's penalty, before Cheltenham's eventual second. Photo: CameraSport - Andrew Kearns
2. Matthew Pennington- 3
The Blackpool defence lacked authority at the back, with strugglers Cheltenham getting in behind far too easily on a number of occasions. Photo: CameraSport - Andrew Kearns
3. Olly Casey- 4
Olly Casey won a number of aerial battles for the Seasiders, but was part of an overall shaky defensive performance. Photo: CameraSport - Dave Howarth
4. James Husband- 3/10
James Husband's display was the same as his other colleagues defence. Photo: CameraSport - Andrew Kearns
5. CJ Hamilton- 3
CJ Hamilton had a couple of bursts of energy during the second half, but once again his involvement was limited. Photo: CameraSport - Andrew Kearns
6. George Byers- 4
George Byers was handed his first start for the Seasiders, but failed to have too much of an impact. Photo: CameraSport - Andrew Kearns