In this paper.luminescent spectra of Na

5

Tb(WO

4

)

4

crystal under hydrostatic high pressure 0-4GPa have been studied.The crystal of Na

5

Tb(WO

4

)

4

is a stoichiometric host luminescent crystal

its light emission comes from Tb

3+

ions having high concentration (weight concentration 12.6%).The high pressure spectra of Na

5

Tb(WO

4

)

4

atroom temperature have been investegated by using a high pressure microspectroscopic system in conjunction with a gasketed diamond anvil optical cell.For transitions

5

D

4

→

7

F

j

(

j

=0

1

2

3

4

5) of Tb

3+

the pressure shifts of 18 fluorescent lines have been determined.In which

all lines have red shift

except that one (

5

D

4

→

7

F

2

15509cm

-1

at 1 atpomosphere) has blue shif.The largest pressure red shift rate of these fluorescent lines is -19.5cm

-1

/GPa (

5

D

4

→

7

F

4

16876cm

-1

at 1 atmosphere)

in comparison with the results of Tb

3+

in other crystals.this is a very high pressure shift rate for trivalent rare earth ions.