Certified GKH Gardening Expert
Your plant actually looks quite healthy!
Browning tips can occur from to much sunlight, or excess fertilizer, or even excess salts can build up from watering with conditioned water.
Try using distilled water to water your plant.
Potted Yucca soil should dry between waterings. Avoid overwatering and make sure the soil is draining of excess water.
Here is a link to refresh you on the care requirements.