We study the laser performance of c-cut Nd∶Lu0.99La0.01VO4 crystal end-pumped by optical fiber coupled semiconductor laser. Based on the spectral characteristics of the 4F3/2→4F11/2 energy level transition and the threshold conditions of four-level laser system, the experimental conditions to generate single- and dual-wavelength laser at 1068 nm and 1085 nm are calculated theoretically. The output characteristics of the single-wavelength laser at 1068 nm and 1085 nm generated in free running of this crystal are studied experimentally, and an Fabry-Perot etalon with sub-terahertz free spectral range is used to adjust the gain competition of two laser oscillating wavelengths at 1068 nm and 1085 nm. The stabilized and balanced output of multi-watt continuous dual-wavelength emission with a frequency offset of 4.4 THz is realized.