Following the Olympics and the 1996 World Series, Fulton County commissioner, Marvin S. Arrington Sr., wanted to preserve the stadium as the home of a future Major League Soccer franchise and share the parking facilities between it and Turner Field but he was unable to push it through.

On April 4, 1997, home plate was removed from Atlanta–Fulton County Stadium and taken to Turner Field, where it was installed by Hank Aaron in the new stadium. Afterwards, demolition of the old stadium began. Between spring and summer 1997, the inside of the stadium was demolished. The stadium was imploded on August 2, 1997; the remains were later removed and demolished. A parking lot, built for Turner Field now stands on the site, with an outline of the old stadium built in. The monument that marked the landing point of Hank Aaron's historic 715th home run stands in the same place it did when the stadium was on the site.

The outfield fence was donated to the Georgia State Baseball Complex and installed prior to the 1998 season.

Upon the Atlanta Braves' move to Truist Park in suburban Cobb County after the 2016 season, the stadium site and the adjacent Turner Field were purchased by Georgia State University in 2016, with final approval from the Board of Regents of the University System of Georgia on November 9 of that year. Turner Field was renovated into Center Parc Stadium for the Panthers football team, while new baseball and softball parks are planned for the former Atlanta–Fulton County Stadium site. In May 2024, The Board of Regents of the University System of Georgia approved the construction of a new baseball stadium on the site, with completion planned in time for the start of the 2026 season.

The site is currently a parking lot for Center Parc Stadium.

• On April 12, 1966, Joe Torre hit the first major league home run in the history of Atlanta Stadium.
• On July 25, 1972, the stadium hosted the Major League Baseball All-Star Game. Hank Aaron hit a home run during the game, and the National League won it, 4–3, in 10 innings.
• On April 8, 1974, Hank Aaron became baseball's all-time career home run leader by hitting his 715th home run off the Los Angeles Dodgers' Al Downing.
• 1984 Braves–Padres bean brawl: During a series between the Braves and the San Diego Padres, one game spawned several brawls between the two teams. On August 12, 1984, Braves pitcher Pascual Pérez hit the Padres' Alan Wiggins with a pitch; Wiggins did not charge the mound, but the Padres vowed revenge on Pérez for his actions (several Padres were ejected in their subsequent attempts to hit Pérez). When Pérez was finally hit, by a pitch thrown by the Padres' Craig Lefferts, the first of many bench-clearing brawls began. By the time the game was over, both teams' lineups had been nearly emptied (due to all the ejections on both sides).
• On July 6, 1986, Bob Horner became the eleventh player in Major League Baseball history to hit four home runs in a single game.
• The stadium hosted the World Series for the first time in 1991 when the Braves played the Minnesota Twins in what ESPN judged to be the best World Series ever played. The Braves won all three games played in Atlanta, two in their final at-bat, but lost the series in seven games.
• The 1992 World Series saw the Braves play the Toronto Blue Jays with the Blue Jays defeating the Braves four games to two, including two of three in Atlanta.
• On July 20, 1993, a fire occurred in the stadium press box during batting practice for that evening's game against the St. Louis Cardinals. This fire occurred on the same day Fred McGriff joined the Braves.
• On October 10, 1995, the Braves clinched the 1995 NLDS the 1st team to win a Division Series since the NLDS format in the playoff system began that same year. They defeated the Colorado Rockies 3 games to 1, with the decisive win at home.
• On October 28, 1995, the Braves clinched the 1995 World Series by defeating the Cleveland Indians, 1–0, on a one-hit, 8-inning performance by pitcher Tom Glavine. The title was the Braves' first World Series championship in Atlanta, making one title in each of the three cities in which they have resided (also Boston and Milwaukee).
• September 23, 1996, marked the stadium's final regular season game as the Braves played host to the Montreal Expos. Atlanta won the game 3–1 and clinched the NL Eastern Division title in the process.
• The stadium's final event was Game 5 of the 1996 World Series, when the Braves played host to the New York Yankees. The final score was 1–0 in favor of the Yankees, with the ballpark's final run scored by Charlie Hayes. The final ceremonial first pitch was thrown to Eddie Perez by former President Jimmy Carter, who had done the honors at Braves home openers while still Governor of Georgia. The winning pitcher was New York's Andy Pettitte, defeating the Braves' John Smoltz. The final hit was recorded by Atlanta's Chipper Jones, who doubled off Pettitte in the bottom of the ninth inning. Pinch-hitter Luis Polonia was the final out in Fulton County Stadium's history, hitting a deep fly ball to right-center field caught by Yankees right fielder Paul O'Neill, which gave the stadium's final save to John Wetteland. (Since no home runs were hit in that game the final home run in the stadium's history belongs to Jim Leyritz, who hit a 3-run home run in Game 4. Leyritz was also Pettitte's batterymate for Game 5.)

For the 1996 summer Olympics, the stadium was the primary venue for baseball.

• The Pittsburgh Steelers and Minnesota Vikings played the first NFL preseason game on August 14, 1965.
• On September 11, 1966, the Atlanta Falcons played their first game in the stadium and lost to the Los Angeles Rams 19–14.
• The Falcons' last game played at the stadium was on December 15, 1991, where they defeated the Seattle Seahawks 26–13, clinching a NFC wild-card spot for the team's first playoff berth since 1982; among some of the attendees included Wayne Newton and MC Hammer.

• In February 1966 Vietnam War supporters held a prayer rally that featured Dean Rusk as its keynote speaker.
• The stadium hosted a round of the AMA Supercross Championship 1977–1986 and 1989–1992.
• In 1994, the UniverSoul Circus conducted its first performance at the stadium.

The stadium was relatively nondescript, one of the many multi-purpose stadiums built during the 1960s and 1970s, similar to Veterans Stadium, RFK Stadium, the Astrodome, Three Rivers Stadium, Busch Memorial Stadium, Oakland–Alameda County Coliseum and Riverfront Stadium.

As was the case for every stadium that used this design concept, the fundamentally different sizes and shapes of baseball and football fields made it inadequate for both sports. In the baseball configuration, 70% of the seats were in foul territory. In the football configuration, seats on the 50-yard-line—normally prime seats for football—were more than 50 yards (46 m) away from the sidelines. One unusual feature of this stadium is the fact that, unlike most multi-purpose stadiums – where the football field was laid either parallel to one of the foul lines or running from home plate to center field – the football field here was laid along a line running between first and third base. Oakland–Alameda County Coliseum has a similar configuration. Thus, a seat behind home plate for baseball would also be on the 50-yard line for football. The stadium was refurbished for the 1996 season prior to hosting the Olympic baseball competition.

Unlike similarly designed outdoor stadiums—such as Riverfront Stadium and Busch Memorial Stadium—Fulton County Stadium always had a natural grass surface. However, for many years it was notorious for its poor field conditions. Until 1989, it didn't have full-time groundskeepers. Instead, it was tended to by a municipal street-maintenance crew.

Due to the elevation of the Atlanta area (situated at the foothills of the Appalachian Mountains), the stadium boasted the highest elevation in baseball when it opened, at 1,050 feet (320 m) above sea level. It retained this distinction for 27 seasons, until the expansion Colorado Rockies entered the National League in 1993. The high elevation and the Southern summer heat made it favorable to home run hitters, resulting in the nickname "The Launching Pad." Until the Florida Marlins arrived (also in 1993), the stadium was the hottest in the majors.

Fulton County Stadium was designed by a joint-venture team of FABRAP (Finch Alexander Barnes Rothschild & Paschal) and Heery, Inc.

Wikimedia Commons has media related to Atlanta-Fulton County Stadium.

• Two vintage postcards showing the stadium from the air. Both cards were published around 1965 or 1966
• TerraServer photo of old stadium outline in parking lot, and Turner Field