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Fifth seed Nishikori earned a semi spot by beating Alexandr Dolgopolov, the 2012 Brisbane runnerup.
CNN: No. 1 Azarenka ruled out by foot problem
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The British number one, seeded second, will play Ivan Ljubicic next after he beat Alexandr Dolgopolov 6-3 7-6 (7-2).
BBC: Andy Murray into last eight of China Open in Beijing
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Alexandr Dolgopolov, the No. 16 seed, was knocked out by fellow Ukrainian Sergiy Stakhovsky , who triumphed 6-7 6-4 7-6 3-6 6-3.
CNN: STORY HIGHLIGHTS
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His fellow American Sam Querrey lost to Australia's 19-year-old rising star Bernard Tomic , who will next face Ukrainian 13th seed Alexandr Dolgopolov.
CNN: Nadal into third round as Federer walks it
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Next up for the British world number four is France's Jeremy Chardy after he beat Alexandr Dolgopolov of the Ukraine 6-1 5-7 6-2.
BBC: Andy Murray beats Bai Yan in round two in Shanghai
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In other first round matches, Ukraine's Alexandr Dolgopolov beat Marcos Baghdatis of Cyprus 6-4 6-4 and Spain's Nicolas Almagro defeated Poland's Lukasz Kubot 7-5 6-2.
BBC: Britain's Andy Murray eases past Mathieu at China Open
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Djokovic, seeking his fourth Key Biscayne title and third in a row, next faces No. 15-seeded Tommy Haas, who beat No. 19 Alexandr Dolgopolov 6-3, 6-2.
NPR: Maria Sharapova Reaches 4th Round At Key Biscayne
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Federer's charge to wrestle the Shanghai crown from Andy Murray looks set to be a lot tougher, as the U.S. open champion dismissed the challenge of Ukraine's Alexandr Dolgopolov 6-2 6-2.
CNN: STORY HIGHLIGHTS
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Tenth seed David Ferrer was taken to three sets in a 3-6 6-3 6-4 victory over Alexandr Dolgopolov but 13th seed Jurgen Melzer had little trouble in dispatching qualifier Santiago Giraldo 6-1 6-4.
BBC: Andy Roddick through to Cincinnati Masters second round
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The top seven seeds receive a bye into the second round and the world No. 5 Juan Martin Del Potro made hard work of his place in the third round after a battle with Ukrainian Alexandr Dolgopolov.
CNN: Djokovic fit to take part in Monte Carlo
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Japan's Kei Nishikori reached the last eight thanks to a 6-3 6-3 win over Spain's Tommy Robredo, while Alexandr Dolgopolov of Ukraine progressed when Finland's Jarkko Nieminen retired due to a migraine with the Ukrainian ahead 6-2 4-1.
CNN: Djokovic's Australian Open preparations suffer hiccup