Bruce Springsteen was glassy-eyed, swaying and reeked of booze when he was arrested for DWI ... at least according to cops.

According to legal docs, an officer watched Bruce take a shot of Patron Tequila, hop on his motorcycle and start the engine back on November 14. The officer says he informed Bruce drinking was prohibited in that area of Sandy Hook, NJ ... and observed the 750 ml bottle of Patron was empty.

Springsteen allegedly told the cop he was about to ride out of the park -- Gateway National Recreation Area -- even though he'd admitted to having 2 shots of tequila in the last 20 minutes.

The officer says Bruce smelled strongly of alcohol and his eyes were glassy, so he put the Boss through a field sobriety test, during which he was swaying, and took 45 steps when he was only asked to take 18. Cops say he refused to submit to a breathalyzer test.

TMZ broke the story ... the rock icon was cited for DWI, reckless driving and consuming alcohol in a closed area. There have been reports claiming Springsteen's BAC was only .02, far below the legal limit, however, cops can bust you for DWI based on other factors ... such as field sobriety testing or observing erratic driving. As we said, Bruce refused a breathalyzer test and the documents do not indicate he was tested after being arrested.