Does Lexus make a model car name Infiniti?

NO... Lexus and Infiniti are two completley different Luxury vehicle manufacturers. Infiniti is the luxury car division of the Japanese automaker Nissan motors just as Lexus is to Toyota or Audi is to Volkswagen. Infiniti officially started selling vehicles on November 8, 1989 in North America and its global operations have since grown to include the Middle East, South Korea, Taiwan, China the United States and 18 countries across Europe. The Current Infiniti Range includes 7 cars like the G37 coupe, G37 sedan, G37 Convertible, M37 M56 sedan, EX35 crossover, FX35 FX50 crossover and the QX56 SUV.

(Pictures of the Infiniti range)

Infiniti G37 coupe

http://cache.jalopnik.com/assets/resources/2008/06...

Infiniti G37 convertible

http://www.drivearabia.com/news/wp-content/uploads...

Infiniti G37 sedan

http://www.egmcartech.com/wp-content/uploads/2009/...

Infiniti M37/56

http://image.motortrend.com/f/31507296+w750/2011-i...

Infiniti EX35

http://www.jdpower.com/images/vehicles/jdpa/2008/I...

Infiniti FX35/50

http://www.cargurus.com/blog/wp-content/uploads/20...

Infiniti QX56

http://www.drivearabia.com/news/wp-content/uploads...

Lexus Make And Model

Infiniti is a luxury brand made by Nissan.