The board of trustees of the University of the District of Columbia has rejected university President Benjamin H. Alexander's proposal to curtail tutoring and academic counseling services for most of the university's students.

The trustees voted 7 to 4 Tuesday evening to place a "moratorium" on any reorganization efforts, saying that they wanted Alexander to concentrate on improving existing programs in light of the university's forthcoming evaluation and accreditation with the Middle States Association, the accrediting agency for the school.

"The board members who voted in the majority felt strongly that the focus ought to be on the accreditation process and stability is a very important factor in that process," said board Chairman Ronald A. Brown.

The board's action "leaves the door open," Brown said, for Alexander to come back with a reorganization plan in 1984 after the Middle States evaluation is completed.

Alexander's reorganization plan had called for eliminating the university college, which oversees the school's remedial English and mathematics classes, tutoring and academic counseling services.

Alexander said he believed the university college was a "stigma" that was preventing the university from attracting better-prepared students.

But trustee Marjorie H. Parker, who was board chairman until last month, said the vote against abolishing the university college reaffirmed UDC's "primary mission" to serve the educationally and economically disadvantaged.

Currently, about 9,500 of UDC's 14,000 students receive services from the university college. Alexander had proposed curtailing the tutoring and academic counseling offered by the university college without eliminating the remedial classes for students who need help in basic English and mathematics.

The board's action yesterday was the second time within a month that the trustees rejected Alexander's efforts to introduce changes. Last month, the board placed a moratorium on any new programs until 1984, after the university's accreditation evaluation is over. Alexander had said since becoming president last August that he wanted UDC to start offering doctoral programs. The university is now drafting plans for a PhD program in chemistry, which Alexander said probably would not start until 1985.

Alexander said yesterday he was disappointed by the trustees' recent actions. "I've been kicked, I've been hit, I've been stomped on, but my goal is still to move on and make this a flagship institution," Alexander said.