The jury deliberating charges of labor racketeering, extortion, and tax fraud against former Teamster leader Francis C. DeBrouse went home tonight without raeaching a verdict after two days of discussions.

The jurors, who reported this afternoon that they were deadlocked, were told by U.S. District Court Judge Frank A. Kaufman to continue deliberations and will resume work on the case Friday morning.

At 3:15 p.m. today, the jury sent the judge a note, saying, "The jury has not been able to get a unanimous decision on any one count. Diligent discussion indicates little chance for a major change and further deliberation is not likely to be fruitful."

With the jury out of earshot, Kaufman noted that it had deliberated only about 10 hours and said, "That's a small fraction of the number of hours I'm going to ask a jury to deliberate in a trial that has lasted longer than a month." When the jury returned to the courtroom, Kaufman simply thanked them and asked them to continue deliberations.

DeBrouse is charged in a 15-count indictment with having used his position as a labor official to obtain more than $200,00 worth of goods and services either free or below cost from companies where Teamsters worked.

The prosecution has contended in the six-weed trial that DeBrouse's actions amount to a pattern of racketerring.

DeBrouse was president until 1977 of the nearly 8,000 member Teamster local 639, which represents truck drivers in the Washington area.

During the trial, the prosecution said that DeBrouse practiced a subtle form of extortion that involved playing on companies' fears of labor disruption rather than threats of physical violence.

DeBrouse's defense against some of the charges is that bills went unpaid because of disputes over whether and by whom money was owed. DeBrouse's attorneys said that the trial, which ended a two-year investigation, grew out of antiunion bias in the federal prosecutor's office rather than the facts.