long
steady
slow
forced
approach
They reached the enemy position after an arduous approach march.

fifty-mile, four-day, etc.
half a day's, two hours', etc.
The camp was half a day's march away.

northward, southward, etc.
forward, onward (figurative)
the forward march of technology

inevitable, inexorable (formal), relentless, unstoppable (all figurative)
the inexorable march of time

begin, set off on
The army set off on a forced march north.

on the march
The army has been on the march for two weeks.

march from
the march from Selma to Montgomery

march of
a march of over 30 miles
the march of history/progress/science (often figurative)

march to, march towards/toward (figurative)
the steady march towards/toward equality

line of march
Villages in the army's line of march were burned to the ground.

a … march away
The border was still a day's march away.

the march eastward, westward, etc.

hunger, peace, pride, protest, victory
triumphal, triumphant
anti-racism, pro-democracy, etc.
gay pride, pride
peaceful

hold, organize, stage
lead
be on, go on, join in, take part in
halt, stop
The farmers halted the march outside the presidential palace.

break up
The march was broken up by police in riot gear.

mark sth
a march marking the thirtieth anniversary of the shootings

at a/the march, on a/the march
There were in excess of 100 000 people at the march.

march against
a march against racism

march for
a march for the victims of the war

march of
a march of over 6 000 people

march from, march to

a march past (BrE)
There will be a special march past of competitors.

military
funeral, wedding
quick, slow

compose
play

briskly, swiftly
boldly
determinedly, purposefully
proudly
They marched proudly onto the football field.

stiffly
inexorably (figurative)
Time marches inexorably on and we still have not made a decision.

north, south, etc.
ahead, forward, on, onward
The clock marched onward to the year 2005. (figurative)

away, back, off, out, over, past, up (and down)
Craig marched up to the door and rang the bell.
Soldiers were marching up and down outside the government buildings.

on
The invading army marched on Rome.

out of
So saying, she marched boldly out of the house.

through
from, into, to, towards/toward
They marched all the way from London to Edinburgh.

march in step
conscripts learning to march in step (= in time with each other)

peacefully
triumphantly

against
Millions of people marched against the war.

for
They were marching for peace.

in support of
protesters marching in support of the students' demands

on
The demonstrators marched on the British embassy.

through
We marched peacefully through the streets.

to, towards/toward

March is used with these nouns as the subject:
army, cadet, demonstrator, procession, protester, soldier, troops

March is used with these nouns as the object:
army