FireEye, a Silicon Valley company that helps businesses fight cyber-attacks, told Reuters it obtained so-called PDF files tainted with malicious software, which can take advantage of the newly discovered bugs.
It declined to identify any victims of the attacks.
A spokeswoman for Adobe said that the company is investigating the report, which surfaced late on Tuesday. She declined to elaborate.
This has been a busy year so far for Adobe's security team. In January, the company pushed out security updates to fix vulnerabilities in Reader, Acrobat and Flash, as well as a program known as ColdFusion that is used to build websites.
Last week, it rushed out a fix for Flash Player after security software maker Kaspersky Lab identified a critical bug that enabled hackers to install "back doors" and take control of PCs running on Microsoft Corp's Windows operating system or Apple Inc's Mac OS X.
Adobe's software has long been a popular target for hackers, who attack PCs by finding bugs in widely used programs that they can then exploit to insert viruses on computers. Experts estimate that Reader and Acrobat programs for accessing PDF documents and Flash Player for accessing Internet content are installed on more than 1 billion PCs.
Hackers exploiting the most recently discovered vulnerability use PDF files to infect PCs, according to FireEye.
When the victim opens the PDF, a visa application form appears onscreen, and a virus installs a covert communications channel with a remote computer known as a "command and control" server, which hackers use to control infected PCs, said Zheng Bu, senior director of research at FireEye.
He said the virus also installs a third malicious file on the infected computer, but declined to elaborate.
Adobe has yet to provide advice on how to protect PCs against attack. FireEye said computer users should avoid opening unfamiliar PDFs, especially when coming from unknown sources.
FireEye said on its blog it has observed attacks on PCs running Adobe Reader 11, the most-recent version of the software, as well as Reader 9 and Reader 10.
Adobe said on its own security blog that the issue also affected Acrobat XI, the current version of the software used to create PDF documents.
© Thomson Reuters 2013