Starting from third and looking strong all weekend, prior to the race Alonso was being tipped for back-to-back wins after claiming his 31st career victory seven days previously in China, but had to settle for eighth in his Ferrari.
It all went badly awry for the double world champion early in the race as he required two pit stops to cure a DRS that was stuck in the open position.
After what happened to Alonso in Malyasia when he crashed out early after running over his front wing that fell off following a lap-one collision with Sebastian Vettel, it has so far been a rollercoaster run for the Spaniard given his second place in Australia and win in China.
Team-mate Felipe Massa did not fare any better as he sustained front-wing damage in an incident with Force India's Adrian Sutil, as well as two punctures later in the race, finishing a miserable 15th.
"We definitely didn't have much luck and that's a real shame at the end of what had previously been such a positive weekend for me and Felipe," said Alonso.
"We were competitive in free practice and qualifying and were both expecting to have a good race.
"After the opening laps, when I thought the rear tyres had gone off, the pit wall informed the DRS was stuck. It wasn't fixed properly at the first stop and so I had to come in for another one.
"From then on the clear instruction from the pit wall not to use it affected my race. I tried to recover, but it was really difficult finding places to overtake without DRS.
"I am sure without the problems me and Felipe had, we would have finished higher up because the car responds very well, and it is definitely our best of the last four years.
"But having a good race involves a lot of factors, including a bit of luck, so let's hope it balances out very soon, maybe even starting in Barcelona (Spanish Grand Prix on May 12), my home race."
Alonso now finds himself trailing championship leader Vettel by 30 points as the reigning triple-world champion cantered to his 28th career victory.
In contrast to Alonso's drive, Vettel described his performance as "flawless, seamless" and "pretty dominant".
The 26-year-old comfortably finished ahead of Lotus duo Kimi Raikkonen and Romain Grosjean for a podium that was a repeat of last year at this race.
"The pace was phenomenal - we surely did not expect that - the car was very quick and it just started to get better and better towards the end when it was quite controlled," said Red Bull's Vettel.
"It was really a beautiful race, flawless, seamless, where you could push every single lap. We took care of the tyres, so overall I'm very happy, and we're in a good position in the championship."