The decision means that Dynamo, who are bottom of the second division, will not be able to play their fixture against Hanover next weekend.
The setback comes just three days after Chancellor Angela Merkel's government gave the German Football League (DFL) the green light to return to action on May 16 after a two-month absence.
"In the past few weeks, we have made an enormous effort, both in terms of personnel and logistics, to strictly implement all prescribed medical and hygienic measures," said Dresden sporting director Ralf Minge.
"We are in contact with the responsible health authority and the DFL. The fact is that we cannot train or participate in games in the next 14 days."
As well as the players, Dresden will isolate its entire coaching and supervisory staff.
The Bundesliga will be the first top European league to restart matches since the outbreak of the coronavirus forced lockdown measures to be imposed across the continent.
However, matches will be played without fans in attendance and with a maximum number of 300 people, including both teams, allowed at each game.
In the run-up to the restart, all teams must go into a one-week quarantine training camp.
After the government gave the go-ahead for the season to restart, there were still worries that an outbreak of the coronavirus in the league could halt the resumed season, this time for good.
As of Thursday, there had been 10 positive cases from 1,724 tests of players and staff at the top 36 clubs in the first wave of testing and two more in the second.