Roger Simpkins holed out a 50-yard wedge shot for an eagle on the par-5 12th hole yesterday to hold off Woody FitzHugh, who began the round four strokes back, and capture the $3,500 District Golf Association's Metropolitan Open golf tournament by one stroke at Indian Spring Country Club.

Simpkins, who opened the final round tied with Larry Ringer of the Naval Aacdemy, shot 73 for a 54-hole total of 222, 12 over par, and the $1,250 first prize. FitzHugh, missing a par putt on the last hole that would have forced a playoff, shot 70 -- 223 and won $600. Ringer's 77 put him in a tie for fourth with low amateur Brian Lehnhard (73) at 226.

"Everyone backed up and I just held on," said Simpkins, an assistant pro at Woodmont Country Club and the 1980 Middle Atlantic PGA player of the year whose third shot at No. 12 was a pitch-and-run that ran in. "You're not going to win many tournaments at 12 over par, but the conditions have been rather miserable."

After two days of 25-mph winds, the weather improved yesterday and allowed FitzHugh, the 1981 Middle Atlantic PGA money leader, to get back into contention. He birdied the 5th, 13th and 14th holes in producing the only par round of the three days.