The exception is for $4.85 million and will allow the Lakers to acquire a replacement player.
Nash was ruled out for the entire season less than a week before it began due to recurring nerve damage in his back. Los Angeles already received a $1.5 million disabled player exception for rookie Julius Randle, who fractured his leg in the season opener.
The Lakers have been dealing with a number of injuries this season. On Monday, the team announced guard Xavier Henry will miss the rest of the season with a torn Achilles tendon. Forward Ryan Kelly tore his hamstring last week and will miss six weeks, while guard Nick Young recently returned to action after missing 10 games with a thumb injury. Guard Wayne Ellington returned to the court on Friday after spending 10 days away from the team following the death of his father.
Los Angeles is 3-11 on the season and in fifth place in the Pacific Division.
The Lakers host the Memphis Grizzlies on Wednesday.
- Molly Geary