How can you promote innovation within your team?

I'd recommend some of the following:

1. Get everyone on board with your vision: Unite all the team members by helping them understand and making them realize that we're all working together to achieve common goals and objectives.

2. Open channels for communication: Let everyone be the part of planning and share their ideas. Make the team members feel confident as essential part of the team which is likely to result in them sharing their ideas. Value their ideas and pay attention to their feedback.

3. Create an environment of trust: Let your team members know that you're never beyond their approach and even in times of conflict you're there to back them up.

4. Organize and Promote Brainstorming sessions

5. Lead from the front: Even though by doing the above you're likely to get team members behind you but motivating them is a whole other story. Examples need to be set to inspire, your leadership role has to be at the heart of the team and embedded.

6. Create a system of Rewards: Innovation, Creativity, Productivity and Efficiency <--- based on these4 indicators rewards can be distributed and prizes set to keep everyone fueled up.

Well1st of all you have to explain your vision clearly as "Our Vision" . and you have to keep encourging the team members and always make them feel like they can do more :)

I think the article  in the link below is good

http://www.roberthalf.com.sg/encourage-innovation-at-workplace

1. Give employees a reason to care.
2. Don’t make staff jump through hoops. 
3. Rethink competition
4. Calm the naysayers.
5. Ease up.
6. Set the example.

By being an active motivator for making every team member to speak yourself in a team like an individual identity and  by encouraging space for better ideas and opening channels for communication.

Be a good listener and encourage others by giving space for better ideas / suggestions from others.