Synonyms for Encourage:

n.

build up someone's hopes, raise (someone's) hopes/expectations, uplift. nerve, perk up. smile on. feed. encourage (noun)
promote, advance, further, boost.

v.

advise (verb)
confer, counsel, consult, suggest, cue, instruct, guide, advise, brief, notify, prompt, admonish, advocate, warn, direct, recommend, inform, caution.
aid (verb)
endow, foster, facilitate, sustain, fund, motivate, minister, aid, attend, relieve, serve, abet, assist, tend, help, support, mother, benefit.
cheer (verb)
console, inspire, please, buck up, gladden, enliven, hearten, cheer, brighten, lighten.
facilitate (verb)
promote, advance, ease, expedite, simplify.
give support; help (verb)
egg on, relieve, second, advance, favor, sustain, promote, back, abet, brace, further, forward, bolster, side with, foster, serve, befriend, subscribe to, back up, assist, advocate, succor, support, approve, ease, aid, reinforce.
intensify (verb)
strengthen.
motivate (verb)
hurl, jog, knock, jerk, catapult, magnetize, foment, impel, fling, punch, induce, ram, provoke, sling, jolt, move, jostle, drive, prod, lob, energize, heave, hurtle, hasten, thrust, entice, ferment, bump, goad, throw, propel, instigate, shove, urge, strike, poke, stimulate, shoot, pitch, force, nudge, push, fire, launch, trigger.
social (verb)
promote, advance, further, boost.
stimulate spiritually (verb)
energize, revivify, instigate, reassure, fortify, buck up, animate, revitalize, brighten, gladden, exhilarate, rally, applaud, cheer, praise, restore, console, cheer up, inspire, inspirit, refresh, enliven, boost, hearten, strengthen, spur, push, goad, sway.

Other synonyms:

convince, open up, uplift, put through, lubricate, allow, approve, fortify. feed. nerve. animate. carry. advise
prompt.
approve
permit, subscribe to.
arouse
inspirit.
back
side with.
cheer up
buck up.
convince
reassure.
elate
inspirit.
goad
spur.
inspire
elate.
lighten
lighten.
revitalize
revitalize.
support
back up, support, back.

Usage examples for encourage

  1. At last she decided to go on a short trip through that country to encourage the black workers she had sent there. – White Queen of the Cannibals: The Story of Mary Slessor by A. J. Bueltmann
  2. Well then, Mrs. McKeon, under these circumstances, what could Feemy do better than encourage this Captain? – The Macdermots of Ballycloran by Anthony Trollope
  3. We must encourage investment. – Complete State of the Union Addresses from 1790 to the Present by Various