The Lakers pulled ahead in the second quarter, overcoming an early nine-point deficit to go up by as many as seven.
However, Portland, led by Damian Lillard's 18 points, was able to recover. Lillard earned half at free throw line in nine attempts.
Nick Young scored a quick 21 points in 15 minutes, hitting his first eight shots before finally missing.
Steve Nash gave the Lakers a boost, but left the game with an ankle sprain after scoring seven points with seven assists and four rebounds in just under 11 minutes.
The Lakers shot 52.2% from the field and 53.8% from three-point range, but still trailed Portland at halftime.
Portland shot 39.5% from the field but took 17 free throw attempts to the Lakers' eight.
The Blazers too an early nine-point lead, but the Lakers rallied to close within two points after the first quarter.
Kent Bazemore led the Lakers with eight points. Nash scored five points with four assists in eight minutes as the Lakers shot 47.6% from the field.
The Lakers (25-48) host the Portland Trail Blazers (48-27) on Tuesday night at Staples Center.
Portland has resurged, winning three straight after getting All-Star LaMarcus Aldridge in the lineup after a back injury.
Pau Gasol is expected to play after a bout of vertigo, starting alongside Chris Kaman. Steve Nash (nerve root irritation) and Xavier Henry (knee) are (somewhat) probable. Kobe Bryant (knee) and Jordan Farmar (groin) are out.
For a more in-depth breakdown, check out Preview: Lakers vs. Portland Trail Blazers